Understanding Laws of Exponents

Front

Product of Powers

Back

Add exponents: a^m * a^n = a^(m+n)

Front

Quotient of Powers

Back

Subtract exponents: a^m / a^n = a^(m-n)

Front

Power of a Power

Back

Multiply exponents: (a^m)^n = a^(m*n)

Front

Power of a Product

Back

Distribute exponent: (ab)^n = a^n * b^n

Front

Power of a Quotient

Back

Distribute exponent: (a/b)^n = a^n / b^n

Front

Zero Exponent

Back

Any base: a^0 = 1

Front

Negative Exponent

Back

Reciprocal: a^-n = 1/a^n

Front

Fractional Exponent

Back

Root: a^(1/n) = n√a

Front

Fractional Exponent (General)

Back

a^(m/n) = n√(a^m)

Front

Base Raised to One

Back

Identity: a^1 = a