Squares, cubes and higher powers are shown as small digits called indices. The opposite of squaring and cubing are called square root and cube root. There are more rules we can use with indices.

What is \({8}\) squared?

\[{16}\]

\[{48}\]

\[{64}\]

What is \({3}\) cubed?

\[{9}\]

\[{27}\]

\[{33}\]

What is the value of \({2}^{6}\)?

\[{32}\]

\[{128}\]

What is the value of \({5}^{4}\)?

\[{25}\]

\[{125}\]

\[{625}\]

Use your calculator to calculate \({6}^{11}\).

\[{362,797,056}\]

\[{45,623,870}\]

\[{765,403,579}\]

Use your calculator to calculate \({4}^{8}\times{3}^{9}\).

\[{432,765,893,345}\]

\[{1,289,945,088}\]

\[{134,709,876,881}\]

What is the square root of \({100}\)?

\[{10}\]

\[{20}\]

\[{50}\]

What is the cube root of \({8}\)?

\[{1}\]

\[{2}\]

\[{3}\]

Simplify \({2}^{5}\times{2}^{4}\) by putting it in index form.

\[{2}^{20}\]

\[{2}^{10}\]

\[{2}^{9}\]

Simplify \({3}^{8}\div{3}^{4}\) by putting it in index form.

\[{3}^{4}\]

\[{3}^{2}\]

\[{3}^{12}\]