Radicals and Rational Exponents Review

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, √4 = 2.

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction. For example, x^(1/2) is equivalent to √x.

Front

How do you simplify √(a^2)?

Back

√(a^2) = |a|, which means the absolute value of a.

Front

What is the product rule for radicals?

Back

The product rule states that √a * √b = √(a*b).

Front

What is the quotient rule for radicals?

Back

The quotient rule states that √(a/b) = √a / √b, provided b ≠ 0.

Front

How do you convert a radical to a rational exponent?

Back

To convert √x to a rational exponent, write it as x^(1/2).

Front

What is the inverse of f(x) = ax + b?

Back

The inverse is f^(-1)(x) = (x - b)/a.

Front

How do you find f(g(x))?

Back

To find f(g(x)), substitute g(x) into f(x).

Front

What is the value of any non-zero number raised to the power of 0?

Back

Any non-zero number raised to the power of 0 is 1.

Front

What is the simplified form of (x^m)(x^n)?

Back

The simplified form is x^(m+n).