%5E-2-without-exponent.jpeg "(7/8)^-2 Without Exponent")
Understanding (7/8)^-2
The expression (7/8)^-2 represents a fraction raised to a negative exponent. To understand what this means, let's break it down:
Negative Exponent
A negative exponent indicates the reciprocal of the base raised to the positive version of the exponent. In simpler terms, it means we flip the fraction and change the sign of the exponent.
Applying the Rule
- Flip the fraction: (7/8) becomes (8/7).
- Change the sign of the exponent: -2 becomes 2.
This gives us the equivalent expression: (8/7)^2
Calculating the Result
Now we can simply calculate (8/7)^2 which means multiplying (8/7) by itself:
(8/7) * (8/7) = 64/49
Therefore, (7/8)^-2 is equivalent to 64/49 without exponents.