Question

Using laws of exponents , simplify and write the answer in exponential form:

${\left(7^4\right)}^5$

Answer 1

Given,

$$\begin{gathered} {\left(7^4\right)}^5 \\ ={\left(7\right)}^{4\times 5} \\ ={\left(7\right)}^{20} \end{gathered}$$ [ Using exponent law : ${\left(a^n\right)}^m=a^{mn}$ ]

Hence, required value is ${\left(7\right)}^{20}$ .