%5E-1-without-exponent.jpeg "(7/4)^-1 Without Exponent")
Understanding (7/4)^-1
The expression (7/4)^-1 might look intimidating at first, but it's actually quite simple to understand. Here's a breakdown:
Negative Exponents
A negative exponent means we take the reciprocal of the base raised to the positive value of the exponent. In simpler terms, we flip the fraction and raise it to the positive power.
Applying the Rule
Following this rule, (7/4)^-1 becomes:
- Flip the fraction: (4/7)
- Raise to the positive power: (4/7)^1
Since any number raised to the power of 1 is itself, the final result is simply 4/7.
Conclusion
Therefore, (7/4)^-1 is equivalent to 4/7. By understanding the concept of negative exponents and applying the rule, we can easily solve this expression without relying on exponents.