How do you write the expression $(sqrt10)^3$ in exponential form?

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Answer 1 · 2018-06-07T15:22:02

$10^(3/2)$

Definition for rational exponents:

$rootcolor(red)n(a^color(blue)m) = a^(color(blue)m/color(red)n)$

$(sqrt(10))^3$

$(10^(1/2))^3$

now use rule:

$(a^n)^m = a^(m*n)$

$(10^(1/2))^3 = 10^(3/2)$

How do you write the expression (sqrt10)^3(sqrt10)^3 in exponential form?