Exponent Rules with Monomials

Front

Product raised to a power: (ab)^n

Back

a^n * b^n

Front

Product of powers: a^m * a^n

Back

a^(m+n)

Front

Power of a power: (a^m)^n

Back

a^(m*n)

Front

Power of a product: (ab)^n

Back

a^n * b^n

Front

Quotient of powers: a^m / a^n

Back

a^(m-n)

Front

Power of a quotient: (a/b)^n

Back

a^n / b^n

Front

Zero exponent: a^0

Back

1 (for a ≠ 0)

Front

Negative exponent: a^(-n)

Back

1 / a^n (for a ≠ 0)

Front

Calculate: (2x^2)(3x^3)

Back

6x^5

Front

Calculate: (4y^3)^2

Back

16y^6