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.

Front

What is the product of powers property?

Back

When multiplying two powers with the same base, add the exponents: a^m * a^n = a^(m+n).

Front

Simplify: (3²)(3⁴)

Back

3⁶

Front

What is the quotient of powers property?

Back

When dividing two powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: (5⁵)/(5²)

Back

5³

Front

What is the power of a power property?

Back

When raising a power to another power, multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: ((2³)²)

Back

2⁶

Front

What is the zero exponent rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

Simplify: 7⁴ / 7⁴

Back

1

Front

What is the negative exponent rule?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/(a^n).