Properties of Rational Exponents Review

Front

When you raise a power to another power, you ___________________the exponents.

Back

Multiply

Front

If the bases are different but the exponents are the same, multiply or divide the ____________________, and keep the ____________________the same.

Back

bases, exponent

Front

When you divide like bases, you __________________the exponents.

Back

Subtract

Front

When you multiply like bases, you ________________the exponents.

Back

Add

Front

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

Back

Product of Powers Property

Front

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

Back

Quotient of Powers Property

Front

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

Back

Power of a Power Property

Front

If a^0 = 1, what can you say about any non-zero number raised to the power of zero?

Back

It equals 1.

Front

What is the result of a^1?

Back

It equals a.

Front

What happens when you raise a product to a power, (ab)^n?

Back

You raise each factor to the power: a^n * b^n.