(Math)Simplifying using the laws of exponents
posted by ameme .
I need help with a few problems.
1.) (x^3/4 times y^1/3)^2/3
How is the answer x^1/2y^2/9
2.)(x^1/3 times y) (x^1/2 times y^4/3)
How is the answer x^1/6 over y^1/3
3.)(4a^2b^7/2)^1/2
How is the answer 2a over b^3/4
4.) (x^2/3y^1/3 over 8x^1/2y)^1/3
How is the answer x^1/18 over 2y^4/9
5.)(50x^3/4y/2x^1/2)+(x^1/2y^1/2/9x^3/4y^3/2)^1/2
How is the answer 8x^1/8y^1/2
Please help explain so I can understand. Thank you!

multiply: add exponents
raise to power: multiply exponents
(x^3/4 y^1/3)^2/3
= x^(3/4*2/3) y^(1/3*2/3)
= x^1/2 y^2/9
(x^1/3 y)(x^1/2 y^4/3)
= x^(1/3 + 1/2) y^(1  4/3)
= x^1/6 y^1/3
= x^1/6 / y^1/3
(4a^2 b^7/2)^1/2
= 4^1/2 a^(2*1/2) b^(7/2*1/2)
= 2a b^(7/4)
= 2a / b^7/4
Given answer is wrong
(x^2/3 y^1/3 / 8x^1/2 y)^1/3
= (x^(2/3  1/2) y^(1/3  1) / 8)^1/3
= x^1/18 / 2y^4/9
Just keep track of the details, and make sure your arithmetic is as good as your algebra!
Respond to this Question
Similar Questions

Math,help
how do i evalute this problem if possible. i will decribe it it has an index of 3 then a squaroot sign then for the radicand (64) since the cube root of 64 is 4(4 times 4 times 4 = 64).. the () part, you just tack on, since a () … 
Algebra
I was asked to simplify (2x^2 times y^3 times z^5)^6. The answer I got was 2x^12/y^18z^30. Is this correct? 
GCF Math Check
Can you see if my answers are correct? Directions find the GCF: (I did the factor tree for each) 40; 2^3 times 5 128; 2^7 GCF: 2 90; 3^2 times 2 times 5 105; 5 times 3 times 7 180; 3^2 times 2^2 times 5 GCF: 5 3x^3; what is that suppose 
Math
Can you see if my answers are correct? Directions find the GCF: (I did the factor tree for each) 40; 2^3 times 5 128; 2^7 GCF: 2 90; 3^2 times 2 times 5 105; 5 times 3 times 7 180; 3^2 times 2^2 times 5 GCF: 5 3x^3; what is that suppose 
Math 8R: Homework Check  Part 4
Part 4: Translate and solve: 25. 6 less than twice a number is ten Answer : 2n  6 = 10 (answer: n = 8) 26. The quotient of a number and 4 plus 3 is 8 Answer: n/4 + 3 = 8 (answer: n = 29) 27. 4 less than three times a number is 28 … 
Chemistry
for each of the following, give an answer with the correct number of significant figures: A. 400 times 185 b. 2.40 divided by 4 times 125 c. 0.825 times 3.6 times 5.1 d. 3.5 times 0.261 divided by 8.24 times 20.0 
math question
/how do i solve this? The probability of winning a game is 15%. If you play 20 times,how many times should you expect to win? 
Math
a standard number cube is rolled 180 times. Predict how many times a 3 or 5 will be the result. 31 times 60 times 57 times 30 times I chose 31 times Is that correct i would appreciate your help 
6th Grade Probability
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times? 
Math
1. Simplify. 3x^2+ 5x5x^24x+52 A.8x^29x+3 B.2x^2+x+3 C.2x^29x+3*** D.2x^2+x+3 2. Add or Subtract.(8x – 2y) + (3x – 4y) A.11x+8y B.4xy C.11x6y*** D.5x+2y 3.(5x^24x1)(4x^24) A.9x^28x1 B.9x^24x+3*** C.x^24x3 D.9x^2+4x3 …