Posted by Hannah on Monday, September 6, 2010 at 7:49pm.
Simplify each expression
(216)^1/3
My answer is 1/6. Am I correct.
(x^4y)^1/3 (xy^4)^2/3
I do not know how to simplify this.

Math  Reiny, Monday, September 6, 2010 at 7:53pm
(216)^1/3 =  1/6
(how can (1/6)(1/6)(1/6) end up negative ?
(x^4y)^1/3 (xy^4)^2/3
= (x^(13))(y^(1/3))(x^(2/3))(y^(8/3)
= x^2 y^3

Math  MathMate, Monday, September 6, 2010 at 7:59pm
1/6 is almost correct, except that you probably notice the original expression is negative. Give it one more try.
Use the rules of exponentiation:
(ab)^(m/n)=(a^m * b^m)^(1/n)
and the inverse:
(a^m)(1/n)
=(a^(m/n))
So
(x^4y)^2/3 (xy^4)^1/3
=( (x^4y)^2 * (xy^4) )^(1/3)
=( x^8*y^2 * x * y*4 )^(1/3)
=(x^9 * y^6)^(1/3)
=x^3 * y^2
(Note that the above example is not the same as the given question).
Post your answer for a check if you wish.
Answer This Question
Related Questions
 urgent math  1. Simplify the expression 7^9/7^3 a.7^3*** b.7^6 c.7^12 d.1^6 2. ...
 Math  Combine like terms to simplify the expression. 1/_4+6+9y= Answer: 5y+6 2...
 math  application of the laws of exponent. show different ways of simplifying ...
 Algebra 1Please, check my answers!  Multiply. Simplify your answer. 1. (n + 3...
 math  translate the phrase into a mathematical expression and then evaluate it...
 Algebra  Translate the phrase to mathematical language. Then simplify the ...
 math  application of the laws of exponent show different ways of simplifying ...
 Algebra  1. Simplify the expression: 4√18+5√32 A.45√2 B.32&#...
 algebra  1)Simplify:(6x^316x^2+11x5)/(3x2) answer= 2x^24x+13over3x2 2)...
 Algebra  1.Simplify the radical expression. √5+6√√5 A.5√...
More Related Questions