Question

Simplify the following and write the answer in the exponential notation.

${\left(5^3\right)}^7$

Answer 1

Hint: We know one of the law of exponents: ${\left(x^a\right)}^b=x^{a\times b}$

Step 1: Given expression: ${\left(5^3\right)}^7$

Step2: Solution:

Using the above law of exponents:

$$\begin{gathered} {\left(5^3\right)}^7=5^{3\times 7}\{Because{\left(x^a\right)}^b=x^{a\times b}\} \\ =5^{21} \end{gathered}$$

$5^{21}$, this is the required exponential notation.

Final Answer: $5^{21}$, this is the required exponential notation.