Exam 10: Exponents and Radicals

Solve the equation. $5 \sqrt { m - 5 } = 6$

Simplify the numerical expression. $-$ 10 - 2 Please enter your answer as a fraction.

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { 81 x ^ { 9 } y ^ { 6 } }$

Evaluate. $\sqrt { 81 }$

Simplify the numerical expression. 2 ^{- 4} Please enter your answer as a fraction.

Simplify the numerical expression. ( 4 ⁵ 5 ^{- 4} ) ^-1 Please enter your answer as a fraction.

Change the radical to simplest radical form. $\frac { \sqrt { 15 } } { \sqrt { 33 } }$

Write each of the following in radical form. Match each expression with the corresponding expression. - $\sqrt [ 5 ] { x ^ { 4 } }$

Simplify the numerical expression. $\left( \frac { 3 ^ { - 1 } } { 7 ^ { - 2 } } \right) ^ { - 1 }$

Simplify the numerical expression. ( 3 ^-3 + 2 ^-2 ) ^-1 Please enter your answer as a fraction.

Write $( 5 x - 6 y ) ^ { \frac { 1 } { 2 } }$ in radical form.

Solve the equation. $\sqrt { 4 x + 5 } = \sqrt { 8 x - 1 }$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\frac { \sqrt { 48 a ^ { 2 } b } } { \sqrt { 5 a ^ { 3 } b ^ { 3 } } }$

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $( \sqrt { 11 x } + \sqrt { 3 c } ) ( \sqrt { 11 x } - \sqrt { 3 c } )$

Simplify. Express final results using positive exponents only. $\left( 5 y x ^ { \frac { 1 } { 4 } } \right) ^ { 4 }$

Evaluate. $\sqrt [ 4 ] { 18 ^ { 4 } }$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 8 y ^ { 3 } } { 9 x } }$

Simplify the numerical expression. $- \left( \frac { 1 } { 2 } \right) ^ { - 4 }$

Evaluate the numerical expression. $16 ^ { \frac { 3 } { 2 } }$

Perform the operation and express the answer in simplest radical form. $\frac { \sqrt [ 4 ] { 216 } } { \sqrt { 6 } }$