Determine the value of N such that $(-2)^{(2N)}=64$

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-4

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Explanation

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Official Explanation

Official

To find N, we start with the equation

(-2)^{(2N)}=64

. We know that

(-2)^6 = 64

, so we can rewrite the equation with a base of

-2

. Thus, we have

(-2)^{(2N)}=[(-2)^6]

. Simplifying the right side gives us

(-2)^{(2N)}=(-2)^6

. Since both sides have the same base, we can equate…

Comments

MdFeb 14, 2024

thanks!

LeoFeb 22, 2024

thankss

What this question tests

Your grasp of exponent rules — multiplying and dividing powers, power-of-a-power, and negative/zero exponents.

Adding exponents when multiplying bases that have the same exponent, or confusing (x^a)^b with x^(a·b).