%5E-1-without-exponent.jpeg "(6/7)^-1 Without Exponent")
Understanding (6/7)^-1
The expression (6/7)^-1 might look intimidating, but it's actually quite simple to understand once we delve into the rules of exponents.
The Power of Negatives
The negative exponent in (6/7)^-1 tells us to take the reciprocal of the base, which is 6/7 in this case. Remember that the reciprocal of a fraction is simply flipping it.
Calculation
Therefore:
(6/7)^-1 = 1 / (6/7)
To divide by a fraction, we multiply by its reciprocal:
1 / (6/7) = 1 * (7/6) = 7/6
Conclusion
So, (6/7)^-1 is equivalent to 7/6 without using exponents.