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Magazine Problem 89
Simplify completely. Assume all variables represent positive real numbers. $$\sqrt{\frac{a^{7}}{81 b^{6}}}$$
Problem 89
Simplify completely. Assume the variables represent positive real numbers. The answer should contain only positive exponents. \(\left(\frac{a^{4} b^{3}}{32 a^{-2} b^{4}}\right)^{2 / 5}\)
Problem 90
Simplify completely. Assume the variables represent positive real numbers. The answer should contain only positive exponents. \(\left(\frac{16 c^{-8} d^{3}}{c^{4} d^{5}}\right)^{3 / 2}\)
Problem 90
Simplify completely. Assume all variables represent positive real numbers. $$\sqrt{\frac{x^{5}}{49 y^{6}}}$$
Problem 90
Rationalize the denominator and simplify completely. Assume the variables represent positive real numbers. $$\frac{\sqrt{u}}{\sqrt{u}-\sqrt{v}}$$
Problem 91
Rewrite radical in exponential form, then simplify. Write the answer in simplest (or radical) form. Assume all variables represent nonnegative real numbers. \(\sqrt[6]{49^{3}}\)
Problem 91
Simplify completely. Assume all variables represent positive real numbers. $$\sqrt{\frac{3 r^{9}}{s^{2}}}$$
Problem 91
Rationalize the denominator and simplify completely. Assume the variables represent positive real numbers. $$\frac{b-25}{\sqrt{b}-5}$$
Problem 92
Rationalize the denominator and simplify completely. Assume the variables represent positive real numbers. $$\frac{d-9}{\sqrt{d}+3}$$
Problem 92
Simplify completely. Assume all variables represent positive real numbers. $$\sqrt{\frac{17 h^{11}}{k^{8}}}$$
