Calc Laws

Exponents Multiplication Rule

Answer explanation

• a^x × a^y = a^x+y

Exponents Division Rule

Answer explanation

• a^x / a^y = a^x-y

Exponents Power to Power Rule

Answer explanation

• (a^x)^y = a^xy

Exponents Power to Fraction Rule

Answer explanation

• (a/b)^x = a^x/b^x

Exponents Power to Product Rule

Answer explanation

(ab)^x = a^xb^x

Zero Exponent Rule

Answer explanation

• a⁰ = 1

Negative Exponent Rule

Answer explanation

• a^-x = 1/a^x

Fractional Exponent Rule

Answer explanation

a^x/y = ^y√a^x

Logarithmic Product Rule

Answer explanation

• log_x(ab) = log_xa + log_xb.

Logarithmic Quotient Rule

Answer explanation

• log_x(a/b) = log_xa – log_xb.