Question

Find the product. (a^ 2 b^ 3)^4

Answer 1

a^ 8 b^ 12

Explanation:

The product of power law of indices states that

(aˣ)ⁿ = a^xn

Applying this law of indices to the given expression would mean that the power of 4 would be multiplied with the powers of both a and b such that

(a^ 2 b^ 3)^4 = a^ 2×4 b^ 3×4

= a^ 8 b^ 12

Answer 2

`( a^(2) b^(3) )^(4) = a^(2 *4 ) b^(3 *4 ) = a^(8) b^(12)`