Question

by what number should (-8)^-3 be multiplied so that the product is equal to (-6)^-3?
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Answer 1

Answer:

Step-by-step explanation:

It's exactly same as

(-1/8)^3 multiplied by x = (-1/6)^3

-1/512 into x = -1/216

x = 512/216 = 128/54 = 64/17

Answer 2

Answer:

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

To find:

By what number should $(-8)^{-3}$ be multiplied so that the product is equal to $(-6)^{-3}$

Solution:

$(-8)^{-3} \times x = (-6)^{-3}$

Where x is the number to be identified

The above expression is equivalent to ,

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

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

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

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

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