# Simplify Expression with Fractional Exponents

Simplify exponent Expression

• Simplify the following expression

(9x)2/3 + (2y)2/3 + z2/3

Use PEMDAS order of operations

Note that the denominator of the fractional exponent is the index of the radical, and the numerator is the exponent of the radicand (the expression which is inside the radical).

### Comments for Simplify Expression with Fractional Exponents

 Sep 26, 2012 Simplify Expression by: Staff Answer:            (9x)2/3 + (2y)2/3 + z2/3            (9x)(2*⅓) + (2y)(2*⅓) + z(2*⅓)            (9²x²)(⅓) + (2²y²)(⅓) + (z²)(⅓)            (9²x²)(⅓) + (2²y²)(⅓) + (z²)(⅓)            ∛(9²x²) + ∛(2²y²) + ∛(z²)            ∛(81x²) + ∛(4y²) + ∛(z²)            3∛(3x²) + ∛(4y²) + ∛(z²) Final Answer:                  3∛(3x²) + ∛(4y²) + ∛(z²) Thanks for writing. Staff www.solving-math-problems.com

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