Question

Find the value of: $\left[\right(-4^2{)}^3{]}^2$

• A. $(-4{)}^{-12}$
• B. $4^{-12}$
• C. $4^{12}$
• D. $(-4{)}^7$

Answer 1

Answer: (C)

$4^{12}$

$\left[\right(-4^2{)}^3{]}^2=\left[\right(-4{)}^6{]}^2$

$=\left[\right(-4{)}^{12}]$

$=(4{)}^{12}$ $(\because (-4{)}^{12}=(-1{)}^{12}\times (4{)}^{12}=1\times 4^{12})$

So, option $C$ is correct.