Laws of Exponents Review

Front

What is the law of exponents for multiplying powers with the same base?

Back

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

Front

What is the law of exponents for dividing powers with the same base?

Back

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

Front

What does a negative exponent represent?

Back

A negative exponent indicates the reciprocal of the base raised to the opposite positive exponent: a^(-n) = 1/a^n.

Front

What is the law of exponents for raising a power to a power?

Back

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

Front

What is the law of exponents for raising a product to a power?

Back

When raising a product to a power, apply the exponent to each factor: (ab)^n = a^n * b^n.

Front

What is the law of exponents for raising a quotient to a power?

Back

When raising a quotient to a power, apply the exponent to both the numerator and the denominator: (a/b)^n = a^n / b^n.

Front

Simplify: x^3 * x^2

Back

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

Front

Simplify: (x^2)^3

Back

x^(2*3) = x^6.

Front

Simplify: x^5 / x^2

Back

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

Front

Simplify: x^0

Back

Any non-zero number raised to the power of zero is 1: x^0 = 1.