Question

(-2/5)7÷(-2/5)5=????

Answer 1

Step-by-step explanation: So you have to take care of the brackets first (-2/5)7 gives -14/5. (-2/5)5 gives us -10/5. Therefore, we have -14/5 ÷ -10/5. According to the law of division, the sign changes to multiplication with a reciprocal of the divisor so we have -14/5 × -5/10. - × - = +. So we have 70/50. In lowest terms the answer is 7/5.

Answer 2

`(4)/(25)`

Explanation:

Using the rule of exponents

`a^(m)` ÷
`a^(n)` ⇔
`a^((m-n))`

Given

`-2/5)^(7)` ÷
`(-2/5)^(5)`

=
`(-2/5)^((7-5))`

=
`(-2/5)^(2)`

= -
`(2)/(5)` × -
`(2)/(5)` =
`(4)/(25)`