Exponents - Product and Power Rule

Front

What is the Product Rule of Exponents?

Back

When multiplying two expressions with the same base, add the exponents. For example, x^a * x^b = x^(a+b).

Front

What is the Power Rule of Exponents?

Back

When raising a power to another power, multiply the exponents. For example, (x^a)^b = x^(a*b).

Front

Simplify: x^4 * x^12

Back

x^16

Front

Simplify: (5^2 * c^3)^5

Back

5^10 * c^15

Front

Simplify: c^12 * c^13

Back

c^25

Front

According to exponent rules, when we raise a power to a power we _______ the exponents.

Back

multiply

Front

Simplify: (v^5)(v^5)

Back

v^10

Front

What happens when you divide two expressions with the same base?

Back

Subtract the exponents. For example, x^a / x^b = x^(a-b).

Front

What is the value of 2^3?

Back

8

Front

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

Back

3^6 or 729.