Question

Find the roots and simplify the expression.

216^1/3 - 125^1/3​

Answer 1

1

Explanation:

The first thing to simplify is the Exponent

If The Exponent is a fraction than the denominator of the fraction will be the power of the root and the numerator will be the power of the expression

It will be in the form

`\sqrt[a]{ {x}^(b) }`

Where a is the denominator and b is the numerator of the fraction

The first expression 216^1/3 will be

`\sqrt[3]{{216}^(1) }`

6×6×6=216 so the expression = 6

The second expression 125^1/3 will be

`\sqrt[3]{ {125}^(1) }`

5×5×5=125 so the expression =5

216^1/3 - 125^1/3

6 - 5

1