Mathematics

Mathematics

Problem

Find the value of 163/4×81/316^{3/4}\times 8^{1/3}. a) 32 b) 16 c) 12 d) 8
Intuitive explanation

Fractional exponents are really just another way to write roots and powers together. The key insight is to rewrite both 16 and 8 as powers of the same base—here, 2—so the exponent rules do the heavy lifting for you. Once everything is in terms of 2n2^n, you can combine the exponents and simplify.

Intuitive explanation

Fractional exponents are really just another way to write roots and powers together. The key insight is to rewrite both 16 and 8 as powers of the same base—here, 2—so the exponent rules do the heavy lifting for you. Once everything is in terms of 2n2^n, you can combine the exponents and simplify.

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