**Multiplying** Quantities with **Exponents** **We can multiply** two quantities with **exponents** if they have the same base. To **multiply** two quantities with the same base, **multiply** their **coefficients** and add their **exponents**. For example, 4(5)5×3(5)2 = (3×4)(5)5 2 = 12(5)7 and 5(2x)2×6(2x)y = (5×6)(2x)2 y = 30(2x)2 y.

Additionally, can you multiply two exponents with different bases? When **you multiply** expressions with the same **exponent** but **different bases**, **you multiply** the **bases** and use the same **exponent**. When **you multiply** expressions with **different bases** and **different exponents**, there is no rule to simplify the process.

Consequently, can you add variables with different coefficients?

Whether **you add** or subtract **variables**, **you** follow the same rule, even though they have **different** operations: when **adding** or **subtracting** terms that have exactly the same **variables**, **you** either **add** or subtract the **coefficients**, and let the result stand with the **variable**. For example: Addition.

Can you add exponents with different powers?

**Adding exponents** and subtracting **exponents** really doesnt involve a rule. If a number is raised to a power, **add** it to another number raised to a power (with either a **different** base or **different exponent**) by calculating the result of the **exponent** term and then directly **adding** this to the other.