Question
Express the following in single exponential form:
$2^4 \times 4^2$
$2^4 \times 4^2$
✓
Answer
We have, $2^4 \times 4^2=2^4 \times\left(2^2\right)^2$
$=2^4 \times 2^4\left[\because 4=2^2\right]$
$=2^{4+4}\left[\because\left(a^m\right)^n=a^{m n}\right]$
$=2^8$
$=2^4 \times 2^4\left[\because 4=2^2\right]$
$=2^{4+4}\left[\because\left(a^m\right)^n=a^{m n}\right]$
$=2^8$
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