🚀 When you multiply index terms with the same base, add the indices.

\[ b^{m} \times b^{n} = b^{m + n} \]

🚀 When you divide index terms with the same base, add the indices.

\[ b^{m} \div b^{n} = b^{m - n} \]

🚀 When you raise a power to a power, multiply the indices.

\[ (b^{m})^{n} = b^{m \times n} \]

🚀 Any base raised to the power of 0 is equal to 1.

\[ b^{0} = 1 \]

🚀 A negative index means you take the reciprocal of the base. Write the base in the denominator of a fraction with a 1 in the numerator.

\[ b^{-n} = \frac{1}{b^{n}} \]

Rewrite this term with a positive index.