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Problem 37

In \(3-37,\) express each power as a rational number in simplest form. $$ \frac{\left(2(3)^{2}+\frac{1}{3^{-2}}\right)^{\frac{2}{3}}}{6\left(2+\frac{1}{4}\right)^{-\frac{1}{2}}} $$

Problem 38

In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt{7} $$

Problem 38

Solve each equation and check. \(3^{x^{2}+2}=3^{6}\)

Problem 38

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ 2 x^{-2} $$

Problem 39

In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt{6} $$

Problem 39

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ 7 a^{-4} $$

Problem 40

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ -5 y^{-8} $$

Problem 40

In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt[3]{12} $$

Problem 41

In \(38-57,\) write each radical expression as a power with positive exponents and express the answer in simplest form. The variables are positive numbers. $$ \sqrt[3]{15} $$

Problem 41

In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ (2 x)^{-2} $$

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