Question

Using the laws of exponents, perform the indicated operations :
[4m^4 n^8] 3/2​

Answer 1

$(4m {}^{4} n {}^{8} ) {}^{ \frac{3}{2} } \\ = 2 {}^{2 \times \frac{3}{2} } m {}^{4 \times \frac{3}{2} } n {}^{8 \times \frac{3}{2} } \\ = 2 {}^{3} m {}^{6} n {}^{12}$

Answer 2

Answer:

$\huge\begin{lgathered}(4m {}^{4} n {}^{8} ) {}^{ \frac{3}{2} } \\ = 2 {}^{2 \times \frac{3}{2} } m {}^{4 \times \frac{3}{2} } n {}^{8 \times \frac{3}{2} } \\ = 2 {}^{3} m {}^{6} n {}^{12}\end{lgathered}$