Question

(2^-1÷5^-1)×(-5/8)^-1 Simplify​

Answer 1

Answer:

=(1/2/1/5)X(-8/5)

= (1/2 X 5)X(-8/5)

= 5/2 X (-8/5)

= -4

Step-by-step explanation:

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Answer 2

Answer:

-4

Step-by-step explanation:

If the power comes in negative value then you have to turn the fraction upside down (reciprocal) and the power becomes positive.

(Remember: If it's a whole number its denominator is 1)

($\frac{1}{2^{1} }$÷$\frac{1}{5^{1} }$) x$\frac{8}{-5}$

Since power of 1 of any number is the same number we can just write it without powers.

($\frac{1}{2 }$÷$\frac{1}{5 }$) x $\frac{8}{-5}$

According to BODMAS, first we have to do the division within brackets.

While dividing, we have to change the ÷ sign to multiplication. Thus we have to change the second fraction as its reciprocal.

So, it will come as,

($\frac{1}{2}$ x $\frac{5}{1}$) x $\frac{8}{-5}$

While multiplying fractions numerators will multiply each other and denominator will multiply each other.

$\frac{5}{2}$ x $\frac{8}{-5}$

= $\frac{40}{-10}$

We have to divide 40 by -10

40 divided by 10 is 4. Both have different signs. SO the answer will come in negative.

Answer is -4