%5E-1-without-exponent.jpeg "(7/3)^-1 Without Exponent")
Understanding (7/3)^-1 Without Exponents
The expression (7/3)^-1 might look intimidating, but it's actually quite simple to understand. Let's break it down:
Negative Exponents: The Reciprocal Rule
In mathematics, a negative exponent indicates the reciprocal of the base raised to the positive value of the exponent. In simpler terms:
x^-n = 1/x^n
Applying this rule to our expression (7/3)^-1, we get:
(7/3)^-1 = 1 / (7/3)^1
Simplifying the Expression
Since any number raised to the power of 1 is itself, we have:
1 / (7/3)^1 = 1 / (7/3)
To divide by a fraction, we multiply by its reciprocal:
1 / (7/3) = 1 * (3/7)
Finally, we perform the multiplication:
1 * (3/7) = 3/7
Conclusion
Therefore, (7/3)^-1 without exponents is equal to 3/7.