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Olenka [21]
3 years ago
14

(-2/5)7÷(-2/5)5=????

Mathematics
2 answers:
Harman [31]3 years ago
3 0

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}

Dafna1 [17]3 years ago
3 0

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.

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