Product, Quotient, and Power Properties of Exponents

Front

What is the Product Property of Exponents?

Back

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

Front

What is the Quotient Property of Exponents?

Back

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

Front

What is the Power Property of Exponents?

Back

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

Front

Calculate: (3^2)^3

Back

3^(2*3) = 3^6.

Front

Calculate: 4^3 * 4^2

Back

4^(3+2) = 4^5.

Front

Calculate: 5^7 / 5^4

Back

5^(7-4) = 5^3.

Front

What happens when you raise a base to a negative exponent?

Back

a^(-n) = 1/a^n.

Front

What is 2^0?

Back

Any non-zero number raised to the power of zero is 1. So, 2^0 = 1.

Front

If a = 2 and b = 3, what is (ab)^2?

Back

(2*3)^2 = 6^2 = 36.

Front

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

Back

x^(3*2) = x^6.