Question

$5^5\times 5^{-5}=$ ______. Fill in the blank to make the statement true.

Answer 1

$5^5\times 5^{-5}$

By using the law of exponent ${\mathrm{a}}^{\mathrm{m}}\times {\mathrm{a}}^{\mathrm{n}}={\mathrm{a}}^{\mathrm{m}+\mathrm{n}}$

$$\begin{gathered} =5^{5+\left(-5\right)} \\ =5^{5-5} \\ =5^0 \end{gathered}$$

By using the law of exponent ${\mathrm{a}}^0=1$

Hence, $5^0=1$