Question

Find the equivalent exponential expression.

[(-4)²]^5
1. (-4)^7
2. (-4)^3
3. (-4)^-3
4. (-4)^10

Answer 1

(-4)^10

Explanation:

According to law of indices

(a^m)^n = a^{mn}

Given

[(-4)²]^5

Using the law above, we I'll multiply the powers

[(-4)²]^5

= (-4)^2×5

= (-4)^10

Hence the required answer is (-4)^10