Question

Match the following.

• A. $a^{m+n}$
• B. $a^{m-n}$
• C. $a^{mn}$

Answer 1

• When two powers with the same base are multiplied, their exponents get added.

i.e., $a^m\times a^n=a^{m+n}$

• When two powers with the same base are divided, their exponents get subtracted.

i.e., $a^m÷a^n=a^{m-n}$

• When raising a power by a power, the exponents are multiplied

i.e., $(a^m{)}^n=a^{mn}$