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:
[tex]\frac{x^{a} }{x^{b} } =x^{a-b}[/tex]
This means that the answer is:
[tex]\frac{2^{-8} }{2^{2} } =2^{-8-2}=2^{-10}[/tex]
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:
[tex](x^{a})^{b} =x^{ab}[/tex]
This also means that [tex]ab/a=b[/tex]
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!
