Question

Simplify and give reasons:
$({\left(5^2\right)}^3\times 5^4)÷5^6$

Answer 1

we know that,

$\because a^m\ast a^n=a^{m+n}$

$\because (a^m{)}^n=a^{mn}$

$\because \frac{a^m}{a^n}=a^{m-n}$

so,

$({\left(5^2\right)}^3\times 5^4)÷5^6$

$=\frac{5^6\ast 5^4}{5^6}$

$=\frac{5^{10}}{5^6}$

$=5^{10-6}$

$=5^4$

$=625$