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In Mathematics / Middle School | 2014-11-10

How to calculate \(\frac{2^{-2}}{3^{-3}}\):

Asked by sholt1243

Answer (2)

(-)exponents mean reciprocals so x^-1=1/x so 2^-2=1/2^2=1/4 3^-3=1/3^3 =1/9

Answered by apologiabiology | 2024-06-10

To calculate 3 − 3 2 − 2 ​ , you convert the negative exponents to their reciprocal forms, resulting in 4 27 ​ or 6.75. This uses the property that x − n = x n 1 ​ to simplify the expression. Finally, the division of fractions leads to the final answer 6.75.
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Answered by apologiabiology | 2024-12-26