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Lerok [7]
3 years ago
10

HELP HELP HELP HELP !!!!!!

Mathematics
1 answer:
STatiana [176]3 years ago
7 0

Answer:

? = -2

Step-by-step explanation:

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

\frac{x^{a} }{x^{b} } =x^{a-b}

This means that the answer is:

\frac{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 <em>ab </em>is -10, we just need to divide it by the <em>a</em>, which is 5, to get our <em>b</em>, which is the ?

-10/5=-2

Therefore the ? = -2

Hope this helped!

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