Chapter 5

For Problems \(1-18\), write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). 89

For Problems \(1-30\), evaluate each numerical expression. \(81^{\frac{1}{2}}\)

For Problems 1-56, solve each equation. Don't forget to check each of your potential solutions. \(\sqrt{5 x}=10\)

For Problems \(1-14\), multiply and simplify where possible. \(\sqrt{6} \sqrt{12}\)

Use the distributive property to help simplify each of the following. \(5 \sqrt{18}-2 \sqrt{2}\)

For Problems \(1-20\), evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt{64}\)

For Problems \(1-42\), simplify each numerical expression. \(3^{-3}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). 117

Evaluate each numerical expression. \(64^{\frac{1}{2}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(\sqrt{3 x}=9\)

Multiply and simplify where possible. \(\sqrt{8} \sqrt{6}\)

Use the distributive property to help simplify each of the following. \(7 \sqrt{12}+4 \sqrt{3}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt{49}\)

Simplify each numerical expression. \(2^{-4}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). 4290

Evaluate each numerical expression. \(27^{\frac{1}{3}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(\sqrt{2 x}+4=0\)

Multiply and simplify where possible. \((3 \sqrt{3})(2 \sqrt{6})\)

Use the distributive property to help simplify each of the following. \(7 \sqrt{12}+10 \sqrt{48}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(-\sqrt{100}\)

Simplify each numerical expression. \(-10^{-2}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). 812,000

Evaluate each numerical expression. \((-32)^{\frac{1}{5}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(\sqrt{4 x}+5=0\)

Multiply and simplify where possible. \((5 \sqrt{2})(3 \sqrt{12})\)

Use the distributive property to help simplify each of the following. \(6 \sqrt{8}-5 \sqrt{18}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(-\sqrt{81}\)

Simplify each numerical expression. \(10^{-3}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). \(6,120,000\)

Evaluate each numerical expression. \((-8)^{\frac{1}{3}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(2 \sqrt{n}=5\)

Multiply and simplify where possible. \((4 \sqrt{2})(-6 \sqrt{5})\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt[3]{27}\)

Simplify each numerical expression. \(\frac{1}{3^{-4}}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). \(72,400,000\)

Evaluate each numerical expression. \(\left(-\frac{27}{8}\right)^{\frac{1}{3}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(5 \sqrt{n}=3\)

Multiply and simplify where possible. \((-7 \sqrt{3})(2 \sqrt{5})\)

Use the distributive property to help simplify each of the following. \(-2 \sqrt{20}-7 \sqrt{45}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt[3]{216}\)

Simplify each numerical expression. \(\frac{1}{2^{-6}}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). \(40,000,000\)

Solve each equation. Don't forget to check each of your potential solutions. \(3 \sqrt{n}-2=0\)

Multiply and simplify where possible. \((-3 \sqrt{3})(-4 \sqrt{8})\)

Use the distributive property to help simplify each of the following. \(3 \sqrt{20}-\sqrt{5}-2 \sqrt{45}\)

Evaluate each of the following. For example, \(\sqrt{25}=5\). \(\sqrt[3]{-64}\)

Simplify each numerical expression. \(-\left(\frac{1}{3}\right)^{-3}\)

Write each of the following in scientific notation. For example \(27800=(2.78)(10)^{4}\). \(500,000,000\)

Evaluate each numerical expression. \(-64^{\frac{1}{3}}\)

Solve each equation. Don't forget to check each of your potential solutions. \(2 \sqrt{n}-7=0\)