Rational Exponents Practice

Front

What is a rational exponent?

Back

A rational exponent is an exponent that is a fraction, where the numerator indicates the power and the denominator indicates the root. For example, x^(1/2) is the square root of x.

Front

Convert the expression 16^(1/4) to radical form.

Back

√(√(√(√16))) or 4.

Front

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

Back

1.

Front

Simplify the expression (x^3y^2)^2.

Back

x^6y^4.

Front

Convert the expression y^(1/2) to radical form.

Back

√y.

Front

What is the value of (-3)^3?

Back

-27.

Front

Simplify the expression 2^(3/2).

Back

√(2^3) = √8 = 2√2.

Front

What is the relationship between rational exponents and roots?

Back

Rational exponents can be expressed as roots; for example, x^(m/n) = n√(x^m).

Front

Convert the expression 81^(2/4) to radical form.

Back

√(81^2) = √(6561) = 81.

Front

What is the value of (x^2y^3)^0?

Back

1.