Surds and Indices Practice Test 1

Question : 21 of 40

Marks: +1, -0

{[(3^{-2})^{-5}]^{1/5}+[(4^{-3})^{-6}]^{1/6}-1}/[(2^{-3})^{-4}]^{1/4}

is equivalent to:

Solution:

{[(3^{-2})^{-5}]^{1/5}+[(4^{-3})^{-6}]^{1/6}-1}/[(2^{-3})^{-4}]^{1/4}

={3^({-2×-5×1/5})+4^{(-3×-6×1/6)}-1}/{2^{(-3×-4×1/4)} }

={3^2+4^3-1}/2^3

=72/8=9

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