Question

Choose the correct answer and fill in the blanks:

${\left({100}^5\right)}^0=\_\_\_\_\_\_.(100000/1)$

Answer 1

By the property of exponent, we know that -

$$\begin{gathered} {\left(a^x\right)}^y=a^{x\times y} \\ {a}^0=1 \end{gathered}$$

By using the above properties -

$$\begin{gathered} {\left({100}^5\right)}^0={100}^{5\times 0} \\ ={100}^0 \\ =1 \end{gathered}$$\

Hence, the correct answer is $1.$