√(9pr) ⁄ (pr) –3/2 =

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First, find the square root of 9pr; √(9pr) = √9 · √(pr) = 3√(pr). The denominator (pr) –3/2 has a negative exponent, so it can be rewritten in the numerator with a positive exponent; √(pr) can be written as (pr) 1/2 , since a value raised to the exponent 1/2 is another way of representing the square root of the value. The expression is now 3(pr) 1/2 (pr) 3/2 . To multiply the pr terms, add the exponents; 1/2 + 3/2 = 4/2 = 2, so 3(pr) 1/2 (pr) 3/2 = 3(pr) 2 = 3p 2 r 2 .

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