Question

Please show your work, thx for the help

Answer 1

A.
`(8n^(3))/(m^(4)p^(2))`

B.
`(1)/(16)`

Explanation:

We have to simplify two examples of exponent using the rules.

1) A. The given expression is
`(8p^(-2) )/(m^(4)n^(-3))`

Now,
`(8p^(-2) )/(m^(4)n^(-3))`

=
`(8)/(m^(4)) * ((p^(-2) )/(n^(-3) ) )` {Since the terms are in product form so, we can treat them separately}

=
`(8)/(m^(4)) * ((n^(3) )/(p^(2)))`

{Since, using the property of exponents we can write
`x^(-a) = (1)/(x^(a))` and
`(1)/(x^(-a) ) = x^(a)` }

=
`(8n^(3))/(m^(4)p^(2))` (Answer)

B. The given expression is
`2^(-4). 3^(0)`

Now,
`2^(-4). 3^(0)`

=
`(3^(0))/(2^(4))`

=
`(1)/(2^(4))` {Since,
`x^(0) = 1` provide x ≠ 0}

=
`(1)/(16)` (Answer)