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Back to Rewrite expressions with rational exponents — Problem 5 · Task Set 2

Exercises: Rewrite Expressions Involving Radicals and Rational Exponents

Work through each section in order. Show your work for simplification problems. Express all fractional exponents in lowest terms.

Grade 9·20 problems·~28 min·Common Core Math - HS Number and Quantity·standard·hsn-rn-a-2
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Fluency Practice

Rewrite each expression as indicated. Simplify completely.

1.

Simplify using the power rule (ar)s=ars(a^r)^s = a^{rs} or the quotient rule ar/as=ar−sa^r / a^s = a^{r-s}:

(a) (x2/3)3/4(x^{2/3})^{3/4}

(b) x3/4÷x1/4x^{3/4} \div x^{1/4}