Product, Quotient Law and Power Rule of Exponents

Front

What is the Product Law of Exponents?

Back

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

Front

What is the Quotient Law of Exponents?

Back

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

Front

What is the Power Rule of Exponents?

Back

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

Front

Simplify: (x^3)(x^4)

Back

x^7

Front

Simplify: (y^5)/(y^2)

Back

y^3

Front

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

Back

2^5

Front

Simplify: (a^5)/(a^3)

Back

a^2

Front

What happens when you raise a number to the power of zero?

Back

Any non-zero number raised to the power of zero equals 1. For example, a^0 = 1.

Front

What is the value of 7^(-2)?

Back

1/7^2 or 1/49.

Front

Simplify: (m^2)(m^3)(m^(-1))

Back

m^4