Question

Does (-2)^7 = -2^7

Answer 1

yes

Answer 2

[AI-generated answer — Explain Bot]

To determine if (-2) raised to the power of 7 is equal to -2 raised to the power of 7, we need to understand the exponentiation rule for negative numbers.

In general, raising a negative number to an odd power will result in a negative result, while raising a negative number to an even power will result in a positive result.

Let's evaluate each expression separately:

(-2)^7: Here, we raise -2 to the power of 7. Since 7 is an odd number, the result will be negative. Calculating (-2)^7 gives us -128.

-2^7: In this case, we have -2 raised to the power of 7. The negative sign only applies to the base (-2), not the entire expression. Since 7 is an odd number, the result will be negative. Calculating -2^7 gives us -128 as well.

Therefore, (-2)^7 is indeed equal to -2^7. Both expressions result in -128.