大象传媒

Simplifying expressions using the laws of indicesSimplifying examples

Indices show where a number has been multiplied by itself, eg squared or cubed, or to show roots of numbers, eg square root. Some terms with indices can be simplified using the laws of indices.

Part of MathsNumerical skills

Simplifying examples

Simplify \({({y^3})^2}\)

Answer

The 'squared' means that it is multiplied by itself.

Therefore \({({y^3})^2} = {y^3} \times {y^3}\)

\(= {y^{3 + 3}} = {y^6}\)

Therefore, we can say that:

\({({a^m})^n} = {a^{m \times n}}\)

Now try the example questions below.

Question

Simplify \({({y^5})^3}\)

Question

Simplify \({({y^{25}})^3}\)

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