(9/7)^-2 Without Exponent

less than a minute read Jun 16, 2024

Simplifying (9/7)^-2 without Exponents

The expression (9/7)^-2 may seem intimidating at first glance, but it can be simplified using basic exponent rules. Here's how to break it down:

A negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In simpler terms:

x^-n = 1/x^n

Applying this to our expression:

(9/7)^-2 = 1/(9/7)^2

Now we need to square the fraction (9/7):

1/(9/7)^2 = 1/(81/49)

Dividing by a fraction is the same as multiplying by its reciprocal:

1/(81/49) = 1 * (49/81)

Finally, we get:

**(9/7)^-2 = ** 49/81

Therefore, (9/7)^-2 without exponents is simply 49/81.