Question

Find the roots and simplify the expression. 216^1/3 - 125^1/3​

Answer 1

Answer:

1

Step-by-step 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