SOLUTION: I apologize in advance, but I am unsure as to the type of problems these are. 1. Simplify (2x^7y^2/4xy^3)^3 I know that 2/4 is 1/2 but I do not know how to simplify the exponen

Algebra ->  Equations -> SOLUTION: I apologize in advance, but I am unsure as to the type of problems these are. 1. Simplify (2x^7y^2/4xy^3)^3 I know that 2/4 is 1/2 but I do not know how to simplify the exponen      Log On


   



Question 169844: I apologize in advance, but I am unsure as to the type of problems these are.
1. Simplify
(2x^7y^2/4xy^3)^3 I know that 2/4 is 1/2 but I do not know how to simplify the exponents inside the parenthesis or the cubed exponent on the outside of the parenthesis.
2. I have no idea where to begin on this problem
If 2x + 2 is >= 5x + 11 then? How do you solve this problem.
Thank you in advance!!

Found 2 solutions by checkley77, stanbon:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(2x^7y^2/4xy^3)^3
(8X^21Y^6/(64X^3Y^9)
X^(21-3)/8Y^(9-6)
X^18/8Y^3 ans.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
1. Simplify
(2x^7y^2/4xy^3)^3 I know that 2/4 is 1/2 but I do not know how to simplify the exponents inside the parenthesis or the cubed exponent on the outside of the parenthesis.
(2x^7y^2/4xy^3)^3
=(2/4)^3*(x^7/x)^3*(y^2/y^3)^3
= (1/2)^3*(x^6)^3*(1/y)^3
= (1/8)*x^18*1/y^3
= [x^18]/[8y^3]
=======================

2. I have no idea where to begin on this problem
If 2x + 2 is >= 5x + 11 then? How do you solve this problem.
Subtract 2x from both sides to get:
2 >=3x + 11
Subtract 11 from both sides to gt:
-9 >= 3x
Divide both sides by 3 and reverse direction of the inequality to get:
x <=-3
====================================
Cheers,
Stan H.