Free Printable Simplifying Expressions with Rational Exponents

1.

Simplify . Your answer should contain only positive exponents. $\left(x^{\frac{5}{3}}y^{-2}\right)^0$

a)

$1$

b)

$\frac{x^{\frac{5}{3}}}{y^2}$

c)

$x^{\frac{5}{3}}y^2$

d)

$\frac{y^2}{x^{\frac{5}{3}}}$

2.

Simplify . Your answer should contain only positive exponents. $\frac{\left(m^2n^{\frac{1}{2}}\right)^0}{n^{\frac{3}{4}}}$

a)

$1$

b)

$n^{\frac{3}{4}}$

c)

$\frac{1}{n^{\frac{3}{4}}}$

d)

$\frac{1}{n^{\frac{4}{3}}}$

3.

Simplify . Your answer should contain only positive exponents. $\left(6b\right)^{\frac{-4}{3}}$

a)

$\frac{1}{6^{\frac{4}{3}}b^{\frac{4}{3}}}$

b)

$\frac{6}{b^{\frac{4}{3}}}$

c)

$\frac{b^{\frac{4}{3}}}{6}$

d)

$\frac{6^{\frac{4}{3}}}{b^{\frac{4}{3}}}$

4.

Simplify:

a)

5⁴ = 625

b)

5³ = 125

c)

5² = 25

d)

5

5.

For the following problem, what operation will you use on the exponents?

a)

Multiply

b)

Add

c)

Subtract

d)

Nothing

6.

Simplify:

a)

a

b)

a²

c)

a³

d)

a⁴

7.

Simplify:

a)

4¹ = 4

b)

4² = 16

c)

4³ = 64

d)

4^-1 = 1/4

8.

Simplify:

a)

9¹ = 9

b)

9² = 81

c)

9³ = 729

d)

9^-1 = 1/9

9.

Simplify

a)

b)

c)

d)

10.

$a^{\frac{1}{2}}\cdot a^{\frac{1}{3}}$

a)

$a^{\frac{1}{6}}$

b)

$a^{\frac{2}{6}}$

c)

$a^{\frac{2}{5}}$

d)

$a^{\frac{5}{6}}$

Simplifying Expressions with Rational Exponents

Total questions: 10

Worksheet time: 13mins

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