Properties of Rational Exponents 1

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

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

Back

1

Front

Simplify: 7^(1/2) * 7^(1/2)

Back

7

Front

What is the property of exponents that states a^m * a^n = a^(m+n)?

Back

The Product of Powers Property.

Front

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

Back

x

Front

What is the value of 8^(1/3)?

Back

2, because 2^3 = 8.

Front

What is the value of 27^(2/3)?

Back

9, because (27^(1/3))^2 = 3^2 = 9.

Front

What is the Quotient of Powers Property?

Back

a^m / a^n = a^(m-n).

Front

Simplify: (x^4)^(1/2)

Back

x^2.

Front

What is the value of 16^(3/4)?

Back

8, because (16^(1/4))^3 = 2^3 = 8.