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Magazine Problem 56
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \left(a^{5} b^{-5} c^{-4}\right)^{-3} $$
Problem 59
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ 5^{\frac{1}{2}} $$
Problem 59
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{x^{5} y^{-4}}{x^{-4} y^{-2}} $$
Problem 61
In \(35-63,\) write each expression with only positive exponents and express the answer in simplest form. The variables are not equal to zero. $$ \frac{-64 x^{4} a^{-2}}{2 x^{5} b^{-4}} $$
Problem 62
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ 5^{\frac{3}{2}} $$
Problem 67
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \left(25 x^{2} y\right)^{\frac{1}{2}} $$
Problem 70
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{\left(x^{5} y^{6}\right)^{\frac{1}{7}}}{z^{-\frac{3}{7}}} $$
Problem 71
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{5^{1} a^{\frac{2}{3}}}{4^{\frac{1}{3}}} $$
Problem 73
In \(58-73\) , write each power as a radical expression in simplest form. The variables are positive numbers. $$ \frac{8^{\frac{1}{4}} a^{\frac{5}{6}} b^{\frac{3}{6}}}{\left(27 c^{4}\right)^{\frac{1}{6}}} $$
Problem 76
In \(74-82,\) write each expression as a power with positive exponents in simplest form. $$ \left(\frac{4 a^{4} b^{6}}{25 a^{-1} b}\right)^{\frac{1}{2}} $$
