2 years ago

Evaluate (16/81) to the power 3/4

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

5 0

This reduces nicely if you first notice that 16/81 = (2/3)^4.

Then use the properties of powers (of positive real numbers):

(16/81)^(3/4) = ((2/3)^4)^(3/4) = (2/3)^3 = 8/27

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