Math
posted by Hannah .
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.

(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 
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.
Respond to this Question
Similar Questions

algebra
1)Simplify:(6x^316x^2+11x5)/(3x2) answer= 2x^24x+13over3x2 2)Factor 27x^31 completley. answer= (3x1)^3 if this isnt correct,im not sure how to solve it b/c this makes the most sense to me. 3)Simplify: x^23x28 over x^29x+14,assume … 
math
application of the laws of exponent show different ways of simplifying each of the following expression. answer the question that follow. 1. 2^5 * 2^4 2. x^4 * x^7 3. (3^2)^3 4. (m^4)^5 5. (5^3 * 2^2)^2 6. (a^4 * b^2)^5 7. (3x^5)^3 … 
math
application of the laws of exponent. show different ways of simplifying each of the following expression. answer the question that follow. 1. 2^5 * 2^4 2. x^4 * x^7 3. (3^2)^3 4. (m^4)^5 5. (5^3 * 2^2)^2 1. how did you simplify each … 
math
translate the phrase into a mathematical expression and then evaluate it. sixtten squared divided by four cubed. The given expression in symbols is? 
Algebra 1Please, check my answers!
Multiply. Simplify your answer. 1. (n + 3/n 5) x (n^2  5n) A: n^2 + 3n 2. (6xy^2/2x^2y^6) x (6x^4y^4/9x^3) A: 2 3. (3h^3  6h/10g^2) x (4g/g^2  2g) (This is the correct expression. There is no typo.) A: ? 
Algebra
Translate the phrase to mathematical language. Then simplify the expression the difference between 119 and 40 What is a numerical expression for the phrase? 
Algebra
1. Simplify the expression: 4√18+5√32 A.45√2 B.32√2 C.116√2 D.9√50 2. Simplify the expression: 7√53√80 A.5√5 B.4√75 C.5 D.4√75 3. Simplify the expression: √21(√3+√14) … 
urgent math
1. Simplify the expression 7^9/7^3 a.7^3*** b.7^6 c.7^12 d.1^6 2. Simplify the expression z^8/z^12 a.z^20 b.z^4 c.1/z^4 d.1/z^4 3. Simplify the expression (3^4)/(3^4 a.(3)^1 b.0 c.1 d.(3)^8 4.Which expressions can be rewritten … 
Math
Combine like terms to simplify the expression. 1/_4+6+9y= Answer: 5y+6 2/ 20a+7+3= Answer: 20+10 3/_5k+9_2+9k= Answer: 4k+7 4/ 17+2.9h+3= Answer: 30+14 Simplify the expression. 5/ _4(3+d)+7d_d= Answer: _16+6d 6/ 8+5(j_5)+3j_1= Answer: … 
algebra
am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt 135y^2