Tuesday

October 21, 2014

October 21, 2014

Posted by **Hannah** on Monday, September 6, 2010 at 7:49pm.

(-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 7:59pm1/6 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**

math - application of the laws of exponent. show different ways of simplifying ...

Algebra 1--Please, check my answers! - Multiply. Simplify your answer. 1. (n + 3...

math - translate the phrase into a mathematical expression and then evaluate it...

math - application of the laws of exponent show different ways of simplifying ...

Alegbra - Translate the phrase to mathematical language. Then simplify the ...

algebra - 1)Simplify:(6x^3-16x^2+11x-5)/(3x-2) answer= 2x^2-4x+1-3over3x-2 2)...

algebra 2 - 1.Simplify the difference. n^2 - lOn+24 9 / n^2 - 13n + 42 — 7 A. n...

Math - Here are the questions I need help with, please help. [(1/4)^-3 divide ...

Math Ms. Sue - Here are the questions I need help with, please help. [(1/4)^-3 ...

algebra - 1)Simplify:(3x^0y^-4)(2x^2y)^3 answer=6x^6 over y 2)Simplify:2x^2y^5z...