How do you write $root3(10)^7$ in rational exponent notation?

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Answer 1 · 2017-04-09T05:50:49

$10^(7/3)$

$root3 (10)$ is $10^(1/3)$ as the power on $root 3 (10)$ is 1.

Hence, $root 3 (10)^7$ would be $10^(7/3)$ .

Answer 2 · 2017-04-09T05:57:29

$root(3)10^7=10^(7/3)$

Given: $root(3)10^7$

Can also be stated as the cube root of 10 to the power of seven.

$root(3)10^7 = (10^7)^(1/3) = 10^(7/3)$

How do you write root3(10)^7root3(10)^7 in rational exponent notation?