Answer:
[tex](d)[/tex] [tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]
Step-by-step explanation:
Given
[tex]5^{8.13}[/tex]
Required
Select an equivalent expression
[tex]5^{8.13}[/tex]
Simplify the power
[tex]5^{8.13} = 5^{8 + 0.1 + 0.03}[/tex]
Apply law of indices:
[tex]5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}[/tex]
Express decimal as fractions
[tex]5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}[/tex]
