Multiplying and Dividing Exponents

Front

Define an exponent.

Back

An exponent is a number that indicates how many times to multiply the base by itself. For example, in 2³, 2 is the base and 3 is the exponent.

Front

What is the product of powers property of exponents?

Back

The product of powers property states that when multiplying two powers with the same base, you add the exponents. For example, a^m * a^n = a^(m+n).

Front

Simplify: (3²)(3⁴)

Back

3⁶

Front

What is the quotient of powers property of exponents?

Back

The quotient of powers property states that when dividing two powers with the same base, you subtract the exponents. For example, a^m / a^n = a^(m-n).

Front

Simplify: (5⁷)/(5²)

Back

5⁵

Front

What is the power of a power property of exponents?

Back

The power of a power property states that when raising a power to another power, you multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

Simplify: ((-2)³)²

Back

(-2)⁶

Front

What is the zero exponent rule?

Back

The zero exponent rule states that any non-zero base raised to the power of zero equals one. For example, a^0 = 1.

Front

Simplify: 7⁰

Back

1

Front

What is the negative exponent rule?

Back

The negative exponent rule states that a negative exponent indicates the reciprocal of the base raised to the opposite positive exponent. For example, a^(-n) = 1/(a^n).