Free Printable Review - Rational Exponents and Radicals

1.

Which radical equation is equivalent to

$a^{\frac{1}{5}}$ ?

a)

$\frac{1}{\left(\sqrt{a}\right)^5}$

b)

$_{5_{\sqrt{a}}}$

c)

$_{\frac{1}{5}_{\sqrt{a}}}$

d)

$\frac{1}{_{5_{\sqrt{a}}}}$

2.

Which exponential expression is equivalent to

$8_{\sqrt{y^3}}$ ?

a)

$\frac{1}{y^{\frac{8}{3}}}$

b)

$\frac{1}{y^{\frac{3}{8}}}$

c)

$y^{\frac{8}{3}}$

d)

$y^{\frac{3}{8}}$

3.

Which expression is equivalent to

$5_{\sqrt{b^9}}$ ?

a)

$\left(b^5\right)^{\frac{1}{9}}$

b)

$b^{\frac{9}{5}}$

c)

$b^{\frac{5}{9}}$

d)

None of the Above

4.

Rewrite the expression in the form of $b^n.$

$b^4\cdot b^{\frac{1}{4}}$

a)

$b$

b)

$b^{\frac{5}{4}}$

c)

$b^{\frac{15}{4}}$

d)

$b^{\frac{17}{4}}$

5.

Rewrite the expression in the form of b^n.

$\left(b^2\right)^{\frac{3}{7}}$

(a)

6.

Product of a Power Property states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

7.

Power of a Power Property states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

8.

Quotient of Powers states: keep the base the same and do this to the exponents.

a)

multiply

b)

add

c)

subtract

d)

divide

9.

a)

x^2.75

b)

x⁴⁴

c)

x¹⁵

d)

x⁷

10.

a)

w⁻³

b)

w³

c)

w²

d)

w⁻¹³

Review - Rational Exponents and Radicals

Total questions: 10

Worksheet time: 7mins

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