Question

Simplify the expression where possible.
\[(X ^{3}Y ^{2})^{4}\]

Answer 1

4x^3y^2

Answer 2

the index law for power of a power is multiply the powers

\[(x^a)^b = x^{a \times b}\]

so the power of 4 outside the brackets operates on both terms inside

\[x^{3 \times 4}y^{2 \times 4}\]

just simplify it

Answer 3

\[x ^{12}y ^{8}?\]

Answer 4

that's correct