Laws of Exponents

Front

What is the first law of exponents?

Back

a^m * a^n = a^(m+n) (When multiplying like bases, add the exponents)

Front

What is the second law of exponents?

Back

a^m / a^n = a^(m-n) (When dividing like bases, subtract the exponents)

Front

What is the third law of exponents?

Back

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

Front

What is the fourth law of exponents?

Back

a^0 = 1 (Any non-zero base raised to the power of zero is 1)

Front

What is the fifth law of exponents?

Back

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

Front

What is the sixth law of exponents?

Back

a^(1/n) = n√a (The nth root of a is the same as raising a to the power of 1/n)

Front

What is the seventh law of exponents?

Back

a^m * b^m = (a*b)^m (When multiplying different bases with the same exponent, you can multiply the bases and keep the exponent)

Front

What is the eighth law of exponents?

Back

(ab)^m = a^m * b^m (When raising a product to a power, raise each factor to the power)

Front

What is the ninth law of exponents?

Back

(a/b)^m = a^m / b^m (When raising a quotient to a power, raise both the numerator and denominator to the power)

Front

Simplify: 2^3 * 2^4

Back

128 (Using the first law: 2^(3+4) = 2^7 = 128)