Question

What is 15 to the 1/3 power in radical form

Answer 1

$\sqrt[n]{a^m}=a^{\frac{m}{n}}\\\\\boxed{15^{\frac{1}{3}}=\sqrt[3]{15}}$

Answer 2

Radical form is the form of a equation in which the number or variable is written under some power of the root. The 15 to the 1/3 power in radical form is $\sqrt[3]{15}$.

Given information-

15 to the 1/3 power is the 1/3 power of the number fifteen and it can be expressed as,

$=(15)^{\dfrac{1}{3}$

This number has to be written in the radical form.

Radical form-

Radical form is the form of a equation in which the number or variable is written under some power of the root.

When a fractional exponents of the number is given the numerator becomes the power and the denominator becomes the root. Let $x^{\dfrac{a}{b}$ is a number with fractional exponents where a and b are the real and positive integer, then a becomes the power and the b becomes the root of the number x.

$x^{\dfrac{a}{b} }=\sqrt[b]{x^a}$

For the given number,

$=(15)^{\dfrac{1}{3}}=\sqrt[3]{15}$

Hence the 15  to the 1/3 power in radical form is $\sqrt[3]{15}$.

Learn more about the radical form here;

https://brainly.com/question/9066665