Using the Product Rule with Exponents

When you multiply constants (variables) that have the same base, you add the exponents... but keep the base unchanged.

For example:

x^2c · x^3 = x^(2+3) = x^5
(x · x) (x · x · x) = x^5

"X" squared times "X" cubed equals "X" to the fifth power.



Try a few more.

1)  p^5 · p^4 =
2)  2t^2 · 3t^4
3)  r^2 · 2^3 · r^5
4)  3x^2 · 2x^5 · x^4
5)  (p^2)(3p^4)(3p^2)


Answers:

1)  p^9
2)  6t^6
3)  2r^10
4)  6r^11
5)  9p^8

Simplify and Solve Using the Addition Principal of Equality

4 ( 8 - 15) + (-10) =  x - 7




Answer:
4 ( 8 - 15) + (-10) =  x - 7
32 - 60 + (-10) = x - 7
-28 + (-10) = x - 7
-38 = x - 7
-38 + 7 = x -7 + 7
-31 = x + 0
-31 = x