Question

Which of the following is equivalent to the radical expression below? 5^8*13

Answer 1

Answer:

$(d)$ $5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$

Step-by-step explanation:

Given

$5^{8.13}$

Required

Select an equivalent expression

$5^{8.13}$

Simplify the power

$5^{8.13} = 5^{8 + 0.1 + 0.03}$

Apply law of indices:

$5^{8.13} = 5^{8} * 5^{0.1} * 5^{0.03}$

Express decimal as fractions

$5^{8.13} = 5^{8} * 5^{\frac{1}{10}} * 5^{\frac{3}{100}}$