Law of Exponents

Front

What is the Product Law of Exponents?

Back

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

Front

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

Back

6x^5.

Front

What is the Power of a Power Law?

Back

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

Front

Simplify: (x^4)^3

Back

x^12.

Front

What is the Zero Exponent Rule?

Back

Any non-zero base raised to the power of zero equals one: a^0 = 1.

Front

Simplify: x^5 * x^0

Back

x^5.

Front

What is the Negative Exponent Rule?

Back

A negative exponent indicates the reciprocal: a^(-n) = 1/a^n.

Front

Simplify: x^(-3)

Back

1/x^3.

Front

What is the Quotient Law of Exponents?

Back

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

Front

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

Back

x^3.