Question

Simplify the following:

(iii) $5^{10}÷\left(5^2\times 5^4\right)$

Answer 1

Simplifying

$5^{10}÷\left(5^2\times 5^4\right)=5^{10}÷\left(5^{2+4}\right)$

$=5^{10}÷\left(5^{2+4}\right)=5^{10}÷5^6$

$=5^{10}÷5^6=5^{10-6}$

$=5^{10-6}=5^4$

Hence, the simplified form of $5^{10}÷\left(5^2\times 5^4\right)$ is $5^4$