Question 22

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

The required number is $$\frac{(-6)^{-3}}{(-8)^{-3}} = \left(\frac{-8}{-6}\right)^3 = \left(\frac{4}{3}\right)^3$$. This equals $$\frac{4^3}{3^3}$$.

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