Product, Power, and Quotient Rule

Front

What is the Product Rule in exponents?

Back

The Product Rule states that when multiplying two expressions with the same base, you add their exponents: a^m * a^n = a^(m+n).

Front

What is the Power Rule in exponents?

Back

The Power Rule states that when raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

What is the Quotient Rule in exponents?

Back

The Quotient Rule states that when dividing two expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Front

Simplify: 2^3 * 2^4

Back

2^(3+4) = 2^7.

Front

Simplify: (x^5)^3

Back

x^(5*3) = x^15.

Front

Simplify: 5^7 / 5^2

Back

5^(7-2) = 5^5.

Front

True or False: 3^2 * 3^3 = 3^6

Back

True.

Front

True or False: (a^4)^2 = a^8

Back

True.

Front

Simplify: (y^2)(y^3)

Back

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

Front

Simplify: 10^5 / 10^3

Back

10^(5-3) = 10^2.