Question
Using laws of exponents, simplify and write the answer in exponential form:
$\left(3^2\right)^5 \div 3^4$
$\left(3^2\right)^5 \div 3^4$
✓
Answer
$\left(3^2\right)^5 \div 3^4$
We know that, $a^m \div a^n=a^{m-n}$ and $\left(a^m\right)^n=a^{m n}$
$\text { So, }\left(3^2\right)^5 \div 3^4=3^{10} \div 3^4$
$=3^{10-4}$
$=3^6$
We know that, $a^m \div a^n=a^{m-n}$ and $\left(a^m\right)^n=a^{m n}$
$\text { So, }\left(3^2\right)^5 \div 3^4=3^{10} \div 3^4$
$=3^{10-4}$
$=3^6$
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