Product, Power of a Power, and Power of a Product Properties

Front

What is the Power of a Power property?

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

What is the Power of a Product property?

Back

The Power of a Product property states that when raising a product to a power, you raise each factor to that power. For example, (ab)^n = a^n * b^n.

Front

Simplify the expression: (x^5)^4

Back

x^20

Front

Simplify the expression: 5^3 ⋅ 5^4

Back

5^7

Front

Simplify the expression: (b^3)^8

Back

b^24

Front

Simplify the expression: (rs)^9

Back

r^9s^9

Front

What is the Product of Powers property?

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 the expression: 4^3 x 4^3

Back

4^6

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

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).