Exam 10: Exponents and Radicals

Using f = 0.45 as a coefficient of friction, determine how fast a car was traveling if it skidded D = 275 feet. Use the formula $S = \sqrt { 30 D f }$ Express your answer to the nearest mile per hour.

The square root of a number is one of its two equal factors.

Find the following products and express answers in simplest radical form. All variables represent non negative real numbers. Match each of the expressions with the expression to obtain a true statement. - $64 \sqrt { 11 a d } - 8 \sqrt { 77 a }$

Solve the equation. $\sqrt { x ^ { 2 } + 9 x + 19 } = 1$ Please enter your answer as two numbers, separated by a comma.

Write $( 6 x - 7 y ) ^ { \frac { 1 } { 2 } }$ in radical form.

Multiply and simplify where possible. Match each of the expressions with the expression to obtain a true statement. - $11,760$

Multiply and simplify where possible. Match each of the expressions with the expression to obtain a true statement. - $378 \sqrt [ 3 ] { 14 }$

To add $\sqrt { 20 } + 3 \sqrt { 45 }$ , simplify the radicals first.

Change the radical to simplest radical form. $\sqrt { 45 }$

Simplify the expression. Express final results without using zero or negative integers as exponents. a ⁶ a ^-8 a ^-3 Please enter your answer as a fraction.

Rationalize the denominator and simplify. All variables represent positive real numbers. $\frac { \sqrt { c } } { \sqrt { c } + 5 \sqrt { d } }$ Please enter your answer as a fraction.

Find the following products and express answers in simplest radical form. All variables represent non negative real numbers. Match each of the expressions with the expression to obtain a true statement. - $320 \sqrt { 13 } - 4,940 \sqrt { 2 }$

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

Solve the equation. $7 \sqrt { x } + 8 = x$

The basic properties of positive integral exponents form the definitions for the use of rational numbers as exponents.

$\frac { 5 \sqrt { 27 } } { 9 }$ is in simplest radical form.

Change the radical to simplest radical form. $- \frac { 1 } { 4 } \sqrt { 20 }$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt [ 3 ] { 24 x ^ { 3 } }$

Find the indicated quotients. Express final results using positive integral exponents only. $\frac { 32 x ^ { - 2 } y ^ { - 6 } } { 8 x ^ { - 6 } y ^ { - 1 } }$

Simplify the numerical expression. 5 ⁸ 5 ^{- 3}