(3/8)^-2

less than a minute read Jun 16, 2024
(3/8)^-2

Understanding (3/8)^-2

In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. Therefore, (3/8)^-2 is equivalent to:

1/(3/8)^2

Let's break it down further:

Step 1: Calculate (3/8)^2

(3/8)^2 = (3/8) * (3/8) = 9/64

Step 2: Find the reciprocal

The reciprocal of 9/64 is 64/9.

Final Answer

Therefore, (3/8)^-2 = 64/9.

This can also be expressed as a mixed number: 7 1/9 or a decimal: 7.1111 (repeating).

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