Question

What is the value of the expression

1/5 To the power of -5

Answer 1

\(\bf \left(\cfrac{1}{5}\right)^{-5}\quad ?\)

Answer 2

keep in mind that \(\bf a^{-{\color{red} n}} = \cfrac{1}{a^{\color{red} n}}\)

so \(\bf \cfrac{1}{5^{-5}}\implies \cfrac{1}{\frac{1}{5^5}}\implies \large \cfrac{\frac{1}{1}}{\frac{1}{5^5}}\\ \quad \\
\textit{keep in mind that }\cfrac{\quad \frac{a}{b}\quad }{\frac{c}{d}}\implies \cfrac{a}{b}\cdot \cfrac{d}{c}\)

so what would that give you?

Answer 3

25 ?

Answer 4

25?

Answer 5

well... how did you get 25 anyway?

Answer 6

let me see.... Ok 3125

Answer 7

3125 \(\checkmark\)

Answer 8

Thank you.