Exponential properties

Front

What is the Product Property of Exponents?

Back

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

Front

Simplify: 7^6 * 7^-5

Back

7^1 or 7.

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: (5^2)^3

Back

5^6.

Front

What happens when you raise an exponential expression to a power?

Back

You multiply the exponents.

Front

Simplify: (a^3b^6c)^3

Back

a^9b^{18}c^3.

Front

What is the Quotient Property of Exponents?

Back

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

Front

Simplify: 8^5 / 8^2

Back

8^3.

Front

What is the Zero Exponent Rule?

Back

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

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^-n = 1/a^n.