Use the properties of exponents to simplify the expression. Assume that all variables are nonzero.\\ $\left(x^{\frac{9}{16}}y^{\frac{3}{4}}z^{-\frac{1}{4}}\right)^{\frac{4}{3}}$
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Step 1: Use the power of a product rule: $(ab)^n = a^nb^n$ $$(x^{\frac{9}{16}}y^{\frac{3}{4}}z^{-\frac{1}{4}})^{\frac{4}{3}} = (x^{\frac{9}{16}})^{\frac{4}{3}}(y^{\frac{3}{4}})^{\frac{4}{3}}(z^{-\frac{1}{4}})^{\frac{4}{3}}$$ Show more…
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