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Problem 103

Find the numerical value of each of the following. (a) \(8^{2 / 3}\) (b) \(25^{3 / 2}\)

Expert verified

The numerical values for the given expressions are:
a) \(8^{\frac{2}{3}} = 4\)
b) \(25^{\frac{3}{2}} = 125\)

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Chapter 7

Simplify \(5 \sqrt{12}+3 \sqrt{75}\)

Chapter 7

Simplify (a) \(^{3} \sqrt{-512}\) (b) \(^{4} \sqrt{(81 / 16)}\) (c) \(\left({ }^{3} \sqrt{-16}\right) /\left({ }^{3} \sqrt{-2}\right)\).

Chapter 7

Rationalize \(\quad 3 \sqrt{3 a x} /{ }^{3} \sqrt{4 a^{2}}\)

Chapter 7

Simplify the quotient \(\sqrt{x} /^{4} \sqrt{x}\). Write the result in exponential notation.

Chapter 7

Find the indicated roots. (a) \(^{5} \sqrt{32}\) (b) \(\pm^{4} \sqrt{625}\) (c) \(^{3} \sqrt{-125}\) (d) \(^{4} \sqrt{-16}\)

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