Law of Exponents Product Rule and Quotient Rule

Front

What is the Product Rule of Exponents?

Back

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

Front

What is the Quotient Rule of Exponents?

Back

When dividing two numbers with the same base, subtract the exponent of the denominator from the exponent of the numerator. For example, a^m / a^n = a^(m-n).

Front

Simplify: x^3 * x^2

Back

x^5

Front

Simplify: x^5 / x^2

Back

x^3

Front

What happens to the exponent when raising a power to a power?

Back

Multiply the exponents. For example, (a^m)^n = a^(m*n).

Front

What is the value of 2^0?

Back

1 (Any non-zero number raised to the power of 0 is 1).

Front

Simplify: 2^-3

Back

1/2^3 = 1/8

Front

What is the result of x^m * x^0?

Back

x^m (Any number multiplied by 1 remains unchanged).

Front

If a^m = a^n, what can we conclude about m and n?

Back

m must equal n (if the bases are the same, the exponents must be equal).

Front

Simplify: (x^3)^2

Back

x^6