Question

(-2/5)7÷(-2/5)5=????

Answer 1

Answer:

$\frac{4}{25}$

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ ÷  $a^{n}$ ⇔ $a^{(m-n)}$

Given

$-2/5)^{7}$ ÷ $(-2/5)^{5}$

= $(-2/5)^{(7-5)}$

= $(-2/5)^{2}$

= - $\frac{2}{5}$ × - $\frac{2}{5}$ = $\frac{4}{25}$

Answer 2

Answer:

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.