Question

find the value of (216) to the power of -2/3

Answer 1

Given,

(216)^-2/3

To find,

The value of (216)^-2/3.

Solution,

The value of (216)^-2/3 will be (1/36).

We can easily solve this problem by following the given steps.

We can re-write 216 in the form of a multiplcation of 6.

216 = 6×6×6 or 6³

According to the question,

(216)^-2/3

(6³)^-2/3

(6)^-6/3

(6)^-2

We know that if the powers are negative then they can be made positive by inverting the given number.

(1/6)²

Simplifying this expression,

(1/6×6)

1/36

Hence, the value of (216)^-2/3 is (1/36).