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, √x or ∛(x+2).

Front

What is the product rule for exponents?

Back

The product rule states that when multiplying two expressions with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

What is the quotient rule for exponents?

Back

The quotient rule states that when dividing two expressions with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

How do you simplify √(a*b)?

Back

√(a*b) = √a * √b, provided a and b are non-negative.

Front

How do you simplify √(a/b)?

Back

√(a/b) = √a / √b, provided a and b are non-negative.

Front

What is the power of a product rule?

Back

The power of a product rule states that (ab)^n = a^n * b^n.

Front

What is the power of a quotient rule?

Back

The power of a quotient rule states that (a/b)^n = a^n / b^n.

Front

How do you multiply radical expressions?

Back

To multiply radical expressions, multiply the numbers outside the radicals and the numbers inside the radicals separately. For example, √a * √b = √(a*b).

Front

How do you divide radical expressions?

Back

To divide radical expressions, divide the numbers outside the radicals and the numbers inside the radicals separately. For example, √a / √b = √(a/b).

Front

What is the definition of a rational exponent?

Back

A rational exponent is an exponent that is a fraction. For example, a^(1/n) is equivalent to the nth root of a.