SOLUTION: 1.) Use the product rule for exponents to simplify the expression. Write the result using exponents. (u^5v^2)(u^8v^2) 2.) Use the quotient rule for exponents to simplify the expr

Algebra ->  Exponents -> SOLUTION: 1.) Use the product rule for exponents to simplify the expression. Write the result using exponents. (u^5v^2)(u^8v^2) 2.) Use the quotient rule for exponents to simplify the expr      Log On


   

Question 1133260: 1.) Use the product rule for exponents to simplify the expression. Write the result using exponents.
(u^5v^2)(u^8v^2)
2.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.
8^12/8^3
3.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.
c^3d^8/cd
4.) Use the power of a product rule for exponents to simplify the expression.
(5b)^3

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1.) Use the product rule for exponents to simplify the expression. Write the result using exponents.

the product rule for exponents: a%5En+%2Aa%5Em+=+a%5E%28n%2Bm%29
%28u%5E5%2Av%5E2%29%28u%5E8%2Av%5E2%29
%28u%5E5%2Au%5E8%29%28v%5E2%2Av%5E2%29
%28u%5E%285%2B8%29%29%28v%5E%282%2B2%29%29%29
u%5E13%2Av%5E4%29


2.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.
the quotient rule for exponents: a%5En%2Fa%5Em+=+a%5E%28n-m%29

8%5E12%2F8%5E3=8%5E%2812-3%29=8%5E9


3.) Use the quotient rule for exponents to simplify the expression. Write the result using exponents.



4.) Use the power of a product rule for exponents to simplify the expression.

%285b%29%5E3=5%5E3%2Ab%5E3=125b%5E3