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## Answers

Power of powers

(a raise to n)raise to m = a raise to nm

Product of powers

a raise to n x a raise to m = a raise to n + m

Law for 0 exponent

a raise to 0 = 1 where a is not equal to 0

Law for negative exponent

* a raise to -n = 1/a raise to n

* 1/a raise to -n = a raise to n

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1. Laws of exponent for product.

ex. 2a⁵·a⁶ = 2a¹¹

2. Laws of exponent for power

ex. 2(xy)⁴ = 2x⁴y⁴

3. Law of exponent for power of a power

ex. (2a⁵)² = 2²a¹⁰

=4a¹⁰

4.Law of exponent for quotient

ex. s¹⁰/s³ = s¹⁰⁻³ = s⁷

5. Law of exponent for power of a quotient

ex. (a/b)³ = a/b³

ex. 2a⁵·a⁶ = 2a¹¹

2. Laws of exponent for power

ex. 2(xy)⁴ = 2x⁴y⁴

3. Law of exponent for power of a power

ex. (2a⁵)² = 2²a¹⁰

=4a¹⁰

4.Law of exponent for quotient

ex. s¹⁰/s³ = s¹⁰⁻³ = s⁷

5. Law of exponent for power of a quotient

ex. (a/b)³ = a/b³