Rational Exponents

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

Simplify: 16^(1/4)

Back

2

Front

What does it mean when an exponent is zero?

Back

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

Front

Simplify: (x^3)^(1/3)

Back

x

Front

What is the value of (-2)^(3)?

Back

-8

Front

Simplify: 64^(1/2)

Back

8

Front

What is the result of (5^(3)x^(2)y^(4))^0?

Back

1

Front

What is the value of 27^(1/3)?

Back

3

Front

If a^m * a^n = a^(m+n), what is this property called?

Back

The Product of Powers Property.

Front

If a^m / a^n = a^(m-n), what is this property called?

Back

The Quotient of Powers Property.