Mammoth Memory

Indices law - law 8

`(ab)^n=a^nb^n` 

To remember this: try simple numbers you know first 

First part `(ab)^n`

Try `(2\times2)^2`

Is the same as  `(4)^2`

                      And  `4\times4`

                     `=16`

 

Second part   `a^n\b^n`

Try `2^2\2^2`

Is the same as `(2\times2)\times(2\times2)`

    `=(4)\times(4)`

    `=4\times4` 

    `=16`

So yes  `(ab)^n=a^nb^n`

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