Multiply & Divide Radical Expressions w/ Laws of Exponents

Front

What is a radical expression?

Back

A radical expression is an expression that includes a root, such as a square root, cube root, etc. For example, @@ ext{radical expression} = ext{ } oot{n}{x}@@.

Front

What is the product of two radical expressions?

Back

To multiply two radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately. For example, @@ oot{m}{a} imes oot{n}{b} = oot{mn}{ab}@@.

Front

Simplify @@-11 oot[3]{3x^2} imes 2 oot[3]{9x}@@.

Back

Front

What is the quotient of two radical expressions?

Back

To divide two radical expressions, divide the numbers outside the radicals and the numbers inside the radicals separately. For example, @@rac{ oot{m}{a}}{ oot{n}{b}} = oot{m}{rac{a}{b}}@@.

Front

Simplify @@7 oot{4} imes 2 oot{16}@@.

Back

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction. For example, @@x^{rac{m}{n}} = oot[n]{x^m}@@.

Front

Rewrite @@ oot[3]{b^4}@@ as a rational exponent.

Back

Front

What is the law of exponents for multiplying like bases?

Back

Front

What is the law of exponents for dividing like bases?

Back

Front

What is the law of exponents for raising a power to a power?

Back