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marshall27 [118]
3 years ago
12

Which is the simplified form of n Superscript negative 6 p cubed?

Mathematics
2 answers:
evablogger [386]3 years ago
3 0

Answer:

Third option. \frac{p^3}{n^{6}}

Step-by-step explanation:

For this exercise you need to remember one of the properties for exponents.

There is a property called the "Negative property of exponents" which states the following:

b^{-n}=\frac{1}{b^n}

Where b \neq0

As you can observe,  b^n is the reciprocal of b^{-n}

In this case you have the following expression given in the exercise:

n^{-6}p^3

Observe the expression. As you can notice, the base "n" has a negative exponent, which is -6.

Therefore, applying the Negative property of exponents explained at the beginning of this explanation, you can simplify the expression.

Then, the simplified form of  n^{-6p^3} is the one shown below:

n^{-6}p^3=\frac{p^3}{n^{6}}

Galina-37 [17]3 years ago
3 0

Answer:

C!

Step-by-step explanation:

it is

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What is the largest two-digit number that is a multiple of 5 and 10 at the same time?
alexandr402 [8]

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

5 0
2 years ago
the length of a rectngle is 8/3 times as great as its widthwhat is the width if the length of a rectangle is 24 ft.
laila [671]
L=(8/3)W = 24 ft.  Solving for W, we mult. both sides of this eqn by (3/8), obtaining

W = (3/8)(24 ft) = 9 ft (answer)
4 0
3 years ago
PLZZ HELP <br> 2/3 divided by 5
melamori03 [73]

Answer:

2/15

Step-by-step explanation:

2/3 divided 5 is really just:

2/3*1/5

that is just 2/15!

7 0
2 years ago
Read 2 more answers
sThe number of users on a social networking site was 45 thousand in February when theyofficially went public, and grew to 60 tho
svetoff [14.1K]

Given:

No of users in February is 45,000 and in october its 60,000.

P=45000(\frac{4}{3})^{(\frac{3}{2})^t}

t=2

P=45000(\frac{4}{3})^3P=45000(\frac{64}{27})P=5000(\frac{64}{3})P=106666.6667

Therefore, approximate no of users after 2 years is 106667.

6 0
1 year ago
Please help me answer these 2 questions with a FULL explanation so I know how to do the rest myself. Giving brainliest.
sveticcg [70]

Answer to 1:

\frac{x^3}{2y^25}

First thing you want to do is combine like terms on the bottom. Since it's multiplication, all you have to do is add the exponents. So for x you'd get x raised to the -9 power and for y you'd get 2y raised to the power of 7

Second thing is the numerator of the fraction. Since this is raising what is inside the paranthesis to a power, you must multiply this power by the powers of x and y, respectively. You should get x raised to the power of -6 and y raised to the power of -18

Here's where it gets complicated. to rationalize the problem, you must add parts from the numerator and denominator or vice versa. You cannot have any negative exponents anywhere in the fraction.  So that means for x you have to add 9 to the x on the top to cancel out the -6 and rationalize the remaining x's. You should end up with x^3.

For y, you work the opposite way. Since the negatives are only on the top, you simply add 18 to the bottom y's and it remains rationalized.

If done correctly this should come out to x^3/2y^25

Answer to 2:

(x^20y^12)/256

First thing you can do on this one is to cancel out the x^0s. Anything to the power of 0 equals one so only the coefficients will remain. Multiply those together and you'll get 4.

Next you will rationalize the ys. Add the bottom 3 to the top to cancel out the denominator and you're left with y^-3. Leave it like this for now.

Now is the difficult part. You must take everything that is inside the parenthesis to the power of -4. That includes the coefficients and the exponents. 4^-4 = 1/256. This means that you now must move the coefficients to the bottom. You should currently have y^-3/(256x^5).

Now take the exponents to the power using the same rules as question 1. -3*-4 = 12 and 5*-4 = -20. You should now have y^12/(256x^-20)

Lastly, we must rationalize the denominator. To do so, move the x^-20 to the numerator and make the exponent positive. After doing this, you have the answer: (x^20y^12)/256

3 0
2 years ago
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