Question
Simplify and express each of the following in exponential form.
$\left(2^3 \times 2\right)^2$
$\left(2^3 \times 2\right)^2$
✓
Answer
We have,
$\left(2^3 \times 2\right)^2=\left(2^{3+1}\right)^2=\left(2^4\right)^2=2^{4 \times 2}$ $\left[\because a^m \times a^n=a^{m+n}\right]$
$=2^8 \quad\left[\because\left(a^m\right)^n=a^{m n}\right]$
$\left(2^3 \times 2\right)^2=\left(2^{3+1}\right)^2=\left(2^4\right)^2=2^{4 \times 2}$ $\left[\because a^m \times a^n=a^{m+n}\right]$
$=2^8 \quad\left[\because\left(a^m\right)^n=a^{m n}\right]$
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