y^13 ÷ y^8 = y13–8 = y^5Raising a power to an exponent: To raise a power to an exponent, keep the
base and multiply the exponents:
(x^3 )^4 = x^3 ×^4 = x^12Multiplying powers with the same exponent: To multiply powers with the
same exponent, multiply the bases and keep the exponent:
(3x)(4x) = 12xDividing powers with the same exponent: To divide powers with the same
exponent, divide the bases and keep the exponent:
On test day, you might encounter an algebra question, like Example 2, that
specifically tests your understanding of the rules of exponents.
THE FIVE RULES OF EXPONENTS
1. (xm)(xn) = xm+n2.