Simplify each expression. All variables represent positive real numbers. See Example 7. $$ 8^{-1 / 3} $$
Added by Pedro H.
Step 1
We can rewrite $8$ as $2^3$, so we have: $$ 8^{-1/3} = (2^3)^{-1/3} $$ Using the power of a power property, we can simplify the exponent: $$ (2^3)^{-1/3} = 2^{3(-1/3)} = 2^{-1} = \frac{1}{2} $$ Show more…
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Simplify each expression. All variables represent positive real numbers. See Example 7. $$ \left(-\frac{8 x^{3}}{27}\right)^{-1 / 3} $$
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