Find the following products and express answers in simplest radical form. All variables represent nonnegative real numbers.

iohanetc
2021-09-07
Answered

Find the following products and express answers in simplest radical form. All variables represent nonnegative real numbers.

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escumantsu

Answered 2021-09-08
Author has **98** answers

Given expression:

Hence

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Use the laws of exponents to simplify the expressions

$\left({64}^{\frac{1}{12}}\right)}^{2$

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Rewrite the following expressions without using radicals or negative exponents. Simplify when possible. $\sqrt[5]{{x}^{20}{y}^{-4}}$

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Solve the exponential equation by expressing each side as a power of the same base and then equating exponents.

$4}^{x}=\frac{1}{\sqrt{2}$

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Solve the exponential equation $6}^{\frac{x-3}{4}}=\sqrt{6$ by expressing each side as a power of the same base and then equating exponents.

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Multiply: $$\sqrt{3}\ufeff\times \sqrt{12}$$.

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Evaluate the expression.

$\sqrt{2}\sqrt{50}$

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Given the complex number ${z}_{1}=12(\mathrm{cos}\frac{13\pi}{8}+i\mathrm{sin}\frac{13\pi}{8})$ and ${z}_{2}=2(\mathrm{cos}\frac{11\pi}{8}+i\mathrm{sin}\frac{11\pi}{8})$ , express the result of $\frac{{z}_{1}}{{z}_{2}}$ in rectangular form with fully simplified fractions and radicals.