Question

By what number should (-8)-³ be multiplied so that it may be equal to (-6)-³​

Answer 1

Answer:

The answer is x=\frac{64}{17}.x=

17

64

.

To find:

By what number should (-8)^{-3}(−8)

−3

be multiplied so that the product is equal to (-6)^{-3}(−6)

−3

Solution:

(-8)^{-3} \times x = (-6)^{-3}(−8)

−3

×x=(−6)

−3

Where x is the number to be identified

The above expression is equivalent to ,

\left(\frac{-1}{8}\right)^{-3} \times x = \left(\frac{-1}{6}\right)^{-3}(

8

−1

)

−3

×x=(

6

−1

)

−3

\frac{-1}{512} \times x = \frac{-1}{216}

512

−1

× x=

216

−1

X = \frac{512}{216}X=

216

512

x=\frac{128}{54}x=

54

128

x=\frac{64}{17}x=

17

64