Multiplying powers with the same exponent: To multiply powers with the same exponent,
multiply the bases and keep the exponent:
(3x)(4x) = 12x
Dividing 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.
Example 2
THE FIVE RULES OF EXPONENTS
For all
1.
(A) 2 de^2
(B) 2 de−2
(C) de^2
(D) de−2
(E)
1. (xm)(xn) = xm+n
2.
3. (xm)n = xmn