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HELP HELP HELP HELP !!!!!!

HELP HELP HELP HELP !!!!!!-example-1
User Mobius
by
7.1k points

1 Answer

5 votes

Answer:

? = -2

Explanation:

The division law of exponents states that when two numbers with the same base are divided, the exponents will subtract:


(x^(a) )/(x^(b) ) =x^(a-b)

This means that the answer is:


(2^(-8) )/(2^(2) ) =2^(-8-2)=2^(-10)

Now we just need to convert the answer into the form the question needs.

The power of a power exponent law states that when an exponent is raised to an exponent, the exponent are multiplied, so:


(x^(a))^(b) =x^(ab)

This also means that
ab/a=b

Since our ab is -10, we just need to divide it by the a, which is 5, to get our b, which is the ?

-10/5=-2

Therefore the ? = -2

Hope this helped!

User Ron Michael
by
6.2k points
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