%5E-2-without-exponent.jpeg "(7/3)^-2 Without Exponent")
Simplifying (7/3)^-2 Without Exponents
The expression (7/3)^-2 can be simplified without using exponents by understanding the rules of exponents.
Understanding Negative Exponents
A negative exponent indicates the reciprocal of the base raised to the positive version of that exponent. In other words:
x^-n = 1/x^n
Applying the Rule
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Reciprocal: First, we find the reciprocal of (7/3). The reciprocal of a fraction is simply flipping the numerator and denominator, so the reciprocal of (7/3) is (3/7).
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Positive Exponent: Now, we raise the reciprocal (3/7) to the positive power of 2.
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Calculation: (3/7)^2 = (3/7) * (3/7) = 9/49
Conclusion
Therefore, (7/3)^-2 simplified without exponents is 9/49.