Properties of Rational Exponents Review

Front

When you multiply like bases, you ______________the exponents.

Back

Add

Front

When you have a negative exponent, use the ________________________to make it positive.

Back

reciprocal

Front

When you divide like bases, you __________________the exponents.

Back

Subtract

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 raise a power to another power, you ___________________the exponents.

Back

Multiply

Front

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

Back

1/8

Front

What is the result of (x^3)(x^2)?

Back

x^(3+2) = x^5

Front

What is the result of (a^4)/(a^2)?

Back

a^(4-2) = a^2

Front

What happens to the exponent when you take the reciprocal of a base with a negative exponent?

Back

The exponent becomes positive.

Front

What is the product of (3^2)(3^3)?

Back

3^(2+3) = 3^5 = 243