Question

Simplify and write in exponential form: $4^3\times 4^{-2}\times {16}^2$

• A. 4³
• B. 4⁴
• C. 4⁵
• D. 4⁶

Answer 1

The correct option is C

4⁵

Given expression is

$4^3\times 4^{-2}\times {16}^2=4^3\times 4^{-2}\times {\left(\right(4{)}^2)}^2=4^3\times 4^{-2}\times 4^4(\because (a^m{)}^n=a^{mn})=4^{3-2+4}(\because a^m\times a^n=a^{m+n})=4^5$