Powers and roots worksheet

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Powers and roots

Level 2 · Laws of indices

NameClass

Write as a single power.

1.

a^{6} \cdot a^{2} = \underline{\hspace{4.5em}}

2.

a^{5} \cdot a^{9} = \underline{\hspace{4.5em}}

3.

y^{8} \cdot y^{3} = \underline{\hspace{4.5em}}

4.

\frac{y^{6}}{y^{4}} = \underline{\hspace{4.5em}}

5.

\frac{y^{5}}{y^{2}} = \underline{\hspace{4.5em}}

6.

\frac{y^{9}}{y^{4}} = \underline{\hspace{4.5em}}

7.

(y^{2})^{4} = \underline{\hspace{4.5em}}

8.

(a^{4})^{5} = \underline{\hspace{4.5em}}

9.

\frac{y^{7} \cdot y^{5}}{y^{2}} = \underline{\hspace{4.5em}}

10.

\frac{x^{5} \cdot x^{7}}{x^{8}} = \underline{\hspace{4.5em}}

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Answer key

Powers and roots · Level 2 · Laws of indices

1.

a^{8}

2.

a^{14}

3.

y^{11}

4.

y^{2}

5.

y^{3}

6.

y^{5}

7.

y^{8}

8.

a^{20}

9.

y^{10}

10.

x^{4}

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