Question

by what number should (1/2)-1 be multiplied so that the product of (-5/4)-1

Answer 1

Step-by-step explanation:

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Answer 2

The number is -2/5 or $\bf \left( { \frac{ - 5}{2} }\right)^{ - 1}$

Correct question: By what number should $\left( { \frac{1}{2} }\right)^{ - 1}$ be multiplied so that the product is $\left( { \frac{ - 5}{4}}\right)^{ - 1}$.

Given:

• $\left( { \frac{1}{2} }\right)^{ - 1}$

To find:

• By which number should $\left( { \frac{1}{2} }\right)^{ - 1}$ be multiplied so that the product is $\left( { \frac{ - 5}{4}}\right)^{ - 1}$.

Solution:

Step 1:

Let the number be x.

$\left( { \frac{1}{2} }\right)^{ - 1} \times x = \left( { \frac{ - 5}{4} }\right)^{ - 1}$

Step 2:

Simplify the equation to find x.

We know that

$\bf \left( { \frac{a}{b} }\right)^{ - 1} = \frac{b}{a}$

So,

$2 \times x = \frac{ - 4}{5}$

or

$x = \frac{ - 4}{5 \times 2}$

or

$\bf x = \frac{ - 2}{5}$

Thus,

The number is -2/5 or $\bf \left( { \frac{ - 5}{2} }\right)^{ - 1}$

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