Mathematics College

Find the product or quotient using only positive exponents

Answers

Answer 1

Answer:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x^6}{6x^{-1}}[/tex]

Required

Solve

In laws of indices, we have:

[tex]\frac{x^m}{x^n} = x^{m-n}[/tex]

So, the expression becomes:

[tex]\frac{3x^{6 - (-1)}}{6}[/tex]

[tex]\frac{3x^{6 +1}}{6}[/tex]

[tex]\frac{3x^7}{6}[/tex]

Divide 3 and 6 by 3

[tex]\frac{1x^7}{2}[/tex]

[tex]\frac{x^7}{2}[/tex]

This can be rewritten as:

[tex]\frac{1}{2}x^7[/tex]

Hence:

[tex]\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7[/tex]

Related Questions

Plz help I am in my unit test plz
The sugar maple tree in Sarah’s yard is the age of the oak tree in her yard. If the sugar maple is 12 years old, how old is
the oak tree?
a. The oak tree is 7 years old.
B. The oak tree is 2 years old.
C. The oak tree is 60 years old.
D. The oak tree is 17 years old.

Answers

Step-by-step explanation:

the oak tree is 17 years old

C is the right answer

Explain why the square root of a number is defined to be
equal to that number to the 1/2 power

Answers

9514 1404 393

Answer:

(x^(1/2))^2 = x^(2/2) = x

Step-by-step explanation:

The square root of a number, when multiplied by itself, gives the original number.

(√x)(√x) = x

The rule for exponents is that powers of the same base, when multiplied, will be the base to the sum of those powers.

(a^b)(a^c) = a^(b+c)

Also, the first power of a number is that number itself.

[tex]x^{\frac{1}{2}}\times x^{\frac{1}{2}}=x^{\frac{1}{2}+\frac{1}{2}}=x^1=x\\\\ \text{Compare to ...}\\\\ \sqrt{x}\times\sqrt{x}=x[/tex]

Answer:

Squaring and square root are inverses, so one should "undo" the other. That is, squaring the square root of a number results in the number. Using the power of a power rule, you multiply the exponents. Since a number to the first power is itself, the product of the exponents must equal 1. This means that the power of the square root must be the reciprocal of 2, or one half.

Step-by-step explanation:

EDGE 2020-2021

Please I need help! Answer as soon as possible

Answers

D.

Because the pattern so far has gone blue, red, blue so the next one must be red.

And the section numbers are increasing by one each time. 1, 2, 3 so the next one must be 4.

Pls help urgently extra points and mark brainlist

Answers

Answer:

$9.50

Step-by-step explanation:

47.50 ÷ 5 = 9.5

Answer:

$9.50 you are correct

Step-by-step explanation:

You just divide 47.50 by 5!

Can you give me brainliest if not that's ok! :)

Will give brainliest

Answers

Answer:

First Gardener.

Step-by-step explanation:

1st gardener= 56 divided by 8= 7 bushes <---

2nd gardener= 45 divided by 5= 9 bushes

3rd gardener= 80 divided by 10= 8

It’s the first Gardner

What is the sum of the polynomials?

(8x^2 - 9y^2 - 4x) + (x^2 - 3y^2 - 7x)

* 7x^2 - 6y^2 + 3x
* 9x^2 - 6y^2 + 3x
* 9x^2 - 12y^2 + 3x
* 9x^2 - 12y^2 - 11x

Answers

Answer:

Option D

Step-by-step explanation:

(8x^2-9y^2-4x) +(x^2-3y^2-7x)

8x^2+x^2-9y^2-3y^2-4x-7x

9x^2-12y^2-11x

The sum of the polynomials is 4x² - 12y² - 11x. The correct answer is an option (D) 4x² - 12y² - 11x.

What is a polynomial?

A polynomial is defined as a mathematical expression that has a minimum of two terms containing variables or numbers. A polynomial can have more than one term.

The polynomials are given as follows:

(8x² - 9y² - 4x) + (x² - 3y² - 7x)

By combining like terms, we can add the polynomials:

(8x² - 9y² - 4x) + (x² - 3y² - 7x)

= 8x² - 4x² - 9y² - 3y² - 4x - 7x

= 4x² - 12y² - 11x

Therefore, the sum of the polynomials is 4x² - 12y² - 11x.

Hence, the correct answer is option (D) 4x² - 12y² - 11x.

Learn more about the polynomial here:

brainly.com/question/11536910

#SPJ7

Sean is travelling. He has a flight of 3 hours 20 minutes, a stopover of 40 minutes and then
another flight of 2.75 hours. What is his total travel time? Give your answer in hours and
minutes.

Answers

Answer:

converting to minutes

Step-by-step explanation:

3*60+20+40+2.75*60=405 min = 6 hours 45 minutes

Answer:

6 hours and 45 minutes

Step-by-step explanation:

2.75 hours = 2 hours and 45 minutes

What is inequality?

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given number line,

If a number is going to the left of a number line then it will become lower and lower.

Since a is on the left of b so a < b.

It is also obtained that a is less than 0 so it will be negative while b will be positive since all negative value is less than positive thus a < b will be correct.

Hence "Maynard is mistaken since an is to the left of b on the number line, which can be expressed as a b".

For more about inequality,

brainly.com/question/20383699

#SPJ2

connie can type 675 words in 15 mins please help!!

Answer:

50 dollars

Step-by-step explanation:

The answer should be $50

Which equation represents the sentence:
Amanda's age is four less than three times Jacob's age.
A.a=3c−4
B.a−4=3c
C.4a=3+c
D.a=4−3c

Answers

Answer:

a.) 1/2n 4=3−5/n b.) 1/2(n 4)=5/n−3 c.) 1/2(n 4)=3−5/n d.) 1/2n 4=5/n−3

Let's assume the number be n.

So, sum of number and four can be written as n+4.

Now one-half of n+4 will be .

Quotient of five and the number can be written as .

Now three less \frac{5}{n} can be written as \frac{5}{n} -3.

So, one-half the sum of a number and four is three less than the quotient of five and the number can be converted into equation as follows:

So, b is the correct choice.

Step-by-step explanation:

Can you mark brainliest

is the relationship linear, exponential, or neither?

Answers

i’m pretty sure it’s linear, both sides go up at the same constant rate, x is going up 4 each time and y is going up 6

Your answer is linear.

Simply the expression -2.5f + 0.2f - 11= 3

Answers

Answer:

f = ~-6.09 rounded to the hundredth

Step-by-step explanation:

-2.5f + 0.2f - 11= 3

-2.3f - 11 = 3

-2.3f = 14

f = -6.0869

m= 12 and the y-intercept is (0, 11)

Answers

the equation is y = 12x+11

Answer:

y=12x+11

Step-by-step explanation:

using y=mx+b

m is the slope and b is the y intercept, using that you just plug in the numbers.

Three pizzas are shared equally among 12 people.what fraction of a pizza will each person get

Answers

Right now, you have 3 pizzas and 12 people. That makes the fraction 3/12. You can simplify this fraction. All you have to do is divide both 3 and 12 by 3.

So, 3/3 =1
12/3 =4

The fraction is 1/4

Bananas cost $3 a bunch and apples cost $0.50 each. If b represents the number of bunches of bananas and a represents the number of apples, which of the following expressions represents the total cost?

Answers

Answer:

it's 3a+.50b

Step-by-step explanation:

helpp
please i rlly need thiss

Answers

Answer:

Step-by-step explanation:

Answer: 16

Step-by-step explanation:

4 to the second power is 4x4 and 4x4 is 16.

Righteousness is not found.

Answers

Answer:

why not

Step-by-step explanation:)

HELP! whoever gets it right gets brainliest!!

Answers

Hmmmm I feeeeeeel likeeeee itttt issssssssssssss C.... butttt like I don’t know

Simplify (-32) ÷ (-4)

Answers

[tex]\bold{Hey\ there!}[/tex]

[tex]\bold{Guide\downarrow}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Negative}[/tex] =[tex]\bold{Positive}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Negative}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{Positive}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Positive}[/tex]

[tex]\bold{Negative}[/tex] & [tex]\bold{Positive}[/tex] = [tex]\bold{Negative}[/tex]

[tex]\bold{(-32)\div(-4)}[/tex]

[tex]\bold{=32\div4}[/tex]

[tex]\bold{=8}[/tex]

[tex]\boxed{\boxed{\bold{Answer: 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

Step-by-step explanation:

Since both of these numbers are negative, it means that the answer will be negative, since 2 negatives make a positive, since now you know that, you can easily do 32/8 which is 4.

-32/ -8 = 4

Check....

-8 * 4 = -32

-32 / 4 = -8

When there is a negative number and a positive number being multiplied or divided by, it will always result in a negative number.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Help pleaseee like ASAP

Answers

Answer: B,C,E,F

Step-by-step explanation:1/6 times 5 on top and bottom to get choice B. 1/6 times 3 on top and bottom to get choice C . 1/6 times 4 on top and bottom to get choice E .1/6 times 2 on top and bottom to get choice F.

The difference of two numbers is 3. Their sum is 13. Find the numbers.

Answers

Answer:

Huh

Step-by-step explanation:

Answer:

The numbers are 8 and 5!

Step-by-step explanation:

8+5=13

8-5=3

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