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Back to Rewrite expressions with rational exponents — Problem 4 · 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 product rule ar⋅as=ar+sa^r \cdot a^s = a^{r+s}:

(a) x1/2⋅x1/3x^{1/2} \cdot x^{1/3}

(b) x1/4⋅x3/4x^{1/4} \cdot x^{3/4}