Mathematics

Mathematics

Problem

Find the value of 813432\dfrac{81^{\frac{3}{4}}}{3^{2}}. a) 2727 b) 33 c) 11 d) 99
Intuitive explanation

The key is recognizing that 8181 is a power of 33, so you can rewrite everything in terms of the same base. Once you express 8181 as 343^4, the fractional exponent becomes much easier to handle—you'll multiply exponents when raising a power to a power, then simplify the resulting division of powers with the same base.

Intuitive explanation

The key is recognizing that 8181 is a power of 33, so you can rewrite everything in terms of the same base. Once you express 8181 as 343^4, the fractional exponent becomes much easier to handle—you'll multiply exponents when raising a power to a power, then simplify the resulting division of powers with the same base.

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