Properties of Rational Exponents (Algebra 1)

Free printable Algebra 1 algebra worksheet applying the product, quotient and power rules of exponents to expressions with rational (fraction) exponents.

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Algebra 1 · Math worksheet

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Math

Algebra 1: Properties of Rational Exponents

Assume x > 0. Simplify each expression using the product, quotient or power rule for exponents, writing the answer as a single power of x with the exponent in simplest form.

Word bank

X^(1/2)X^(3/2)X^(3/4)X^(5/3)X^(7/4)X^(3/10)X^(13/6)X^(21/20)X^(12/25)X^(46/15)X^(89/30)X^(-11/12)

1.
Simplify: $x^{9/5}$ × $x^{7/6}$
2.
Simplify: $x^{1/3}$ × $x^{7/6}$
3.
Simplify: $x^{5/3}$ × $x^{7/5}$
4.
Simplify: $x^{1/2}$ × $x^{5/3}$
5.
Simplify: $x^{1/3}$ ÷ $x^{5/4}$
6.
Simplify: $x^{7/6}$ ÷ $x^{2/3}$
7.
Simplify: $x^{9/5}$ ÷ $x^{3/2}$
8.
Simplify: $x^{9/5}$ ÷ $x^{3/4}$
9.
Simplify: $(x^{1/2})^{3/2}$
10.
Simplify: $(x^{4/3})^{5/4}$
11.
Simplify: $(x^{4/5})^{3/5}$
12.
Simplify: $(x^{7/6})^{3/2}$

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