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Magazine Problem 118
Use a scientific calculator with a power key ( \(x^{y}\) ) to find the decimal value of each expression. Round approximate answers to four decimal places. \(\left(\frac{32}{243}\right)^{-3 / 5}\)
Problem 119
Simplify expression. Assume a and b are positive real numbers and \(m\) and \(n\) are rational numbers. \(a^{m / 2} \cdot a^{m / 4}\)
Problem 119
Use a calculator to find approximate solutions to the following equations. Round your answers to three decimal places. $$\sqrt{x-2}=1.73$$
Problem 120
Use a calculator to find approximate solutions to the following equations. Round your answers to three decimal places. $$\sqrt[7]{x-5}=3.7$$
Problem 120
Simplify expression. Assume a and b are positive real numbers and \(m\) and \(n\) are rational numbers. \(b^{n / 2} \cdot b^{-n / 3}\)
Problem 121
Simplify expression. Assume a and b are positive real numbers and \(m\) and \(n\) are rational numbers. \(\frac{a^{-m / 5}}{a^{-m / 3}}\)
Problem 121
Use a calculator to find approximate solutions to the following equations. Round your answers to three decimal places. $$x^{2 / 3}=8.86$$
Problem 122
Simplify expression. Assume a and b are positive real numbers and \(m\) and \(n\) are rational numbers. \(\frac{b^{-n / 4}}{b^{-n / 3}}\)
Problem 122
Use a calculator to find approximate solutions to the following equations. Round your answers to three decimal places. $$(x-1)^{-3 / 4}=7.065$$
Problem 123
Work in a small group to write a formula that gives the side of a cube in terms of the volume of the cube and explain the formula to the other groups.
