Question

Evaluate: 36^(-3/2)

Answer 1

Evaluating 36^(-3/2) utilizes the laws of exponents. Raising a number by a negative exponent is raising the reciprocal of the number by the exponent: 36^(-3/2) = (1/36)^(3/2).


We could separate 3/2 into 3/2 = 1/2 * 3, and further simplify the expression

= ((1/36)^(1/2))^3= (1/6)^3= 1/216


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