Question

I need help with this....

Answer 1

-512

Explanation:

The laws of exponents state that multiplying two exponents together of the same base allows you to add the exponents. Raising an exponent to another power allows you to multiply the exponents. In this case. you have
`(-2)^3*((-2^3))^2`. First, you take the second term, or
`((-2^3))^2` and simplify it. Since you're raising an exponent to another exponent you have
`(-2)^(3*2)`, or
`(-2)^6`. Now, you multiply by
`(-2)^3`. Since they both have the same base, you can add the exponents to get
`(-2)^9`. Since
`(-2)^9` is raised to an odd exponent, you know you're answer is going to be negative.
`2^9` is 512, so that negative would be -512. If you're looking for an expression for this, you can write
`(-2)^9`