%5E-1-without-exponents.jpeg "(9/7)^-1 Without Exponents")
Understanding (9/7)^-1 Without Exponents
The expression (9/7)^-1 might look intimidating at first, but it's actually quite simple to understand without resorting to exponents.
The Power of Reciprocals
The key is understanding that a negative exponent essentially flips the fraction. Here's why:
- Any number raised to the power of -1 is equal to its reciprocal.
- The reciprocal of a fraction is simply flipping the numerator and denominator.
Therefore, (9/7)^-1 is the same as:
- Finding the reciprocal of (9/7): This means flipping the fraction, resulting in (7/9).
So, (9/7)^-1 is equivalent to 7/9.
Simplifying the Expression
You can further simplify the expression by performing the division if needed.
7/9 is already in its simplest form and can't be reduced further.
Conclusion
By understanding the concept of reciprocals and negative exponents, we can easily simplify expressions like (9/7)^-1 without needing to rely on exponents. This approach makes the expression much more accessible and understandable.