Question

Please explain with steps

Write as a single power using the rule
A and B part question You Try

Answer 1

Check below

Explanation:

Laws of indices applied in this worksheet:

`a^(n) . a^(m) = a^{n + m`

`a^(n) .b^(n) = (ab)^(n)`

Example 1:

a)
`x^(2) . x^(3) . x`

=
`x^(2 + 3 + 1)`

=
`x^(6)`

b)
`(-3.1)^(3)`×
`(-3.1)^(4)`

=
`(-3.1)^(3 + 4)`

=
`(-3.1)^(7)`

You Try:

a)
`a^(5) . a^(2) . a^(2)`

=
`a^(5 + 2 + 2)`

=
`a^(9)`

b)
`(-1)^(100) . (-1)^(37)`

=
`(-1)^(100 + 37)`

=
`(-1)^(137)`