Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. √(96x^2y)


Rewrite without rational exponents, and simplify, if possible. 

( x^(4) y^(4) )^(1/3)

Answers

Answer 1
Answer: √(96x^2y)=√(16\cdot6\cdot x^2\cdot y)=√(16)\cdot\sqrt6\cdot√(x^2)\cdot√(y)\n\n=4\cdot\sqrt6\cdot x\cdot√(y)=4x√(6y)

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\left(x^4y^4\right)^(1)/(3)=\left(x^4\right)^(1)/(3)\left(y^4\right)^(1)/(3)=x^{4\cdot(1)/(3)}y^{4\cdot(1)/(3)}=x^(4)/(3)y^(4)/(3)=x^{1+(1)/(3)}y^{1+(1)/(3)}\n\n=x^1x^(1)/(3)y^1y^(1)/(3)=x\sqrt[3]{x}\cdot y\sqrt[3]y=xy\sqrt[3]{xy}

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9/11=?/22 a.4 b.18 c.12 d.9
Fg - 9h = 10j, for g

When is the estimation of products a useful tool?

Answers

The estimation of products are usefull so with you real answer, you can check back and fourth if you answer is reasonable

Decimals from least to greatest please help put in order. 2.2, 2.15, 2.2012, 2.501

Answers

Answer: 2.15, 2.2, 2.2012, 2.501

Answer:

the answer is 2.15, 2.2, 2.2012, 2.501.

Step-by-step explanation:

What are the roots of the quadratic equation 0= 8x^2+14x ?

Answers

8x^2+14x=0
Take 2x as a common factor:
2x(4x+7)=0
Take 2 cases:
2x=0 or 4x+7=0
2x=0       x=0
4x+7=0       4x=-7        x=-7/4

The roots are 0 or -7/4.

Hope this helps :)

The area of a square is 72. what is the longest straight line that can be drawn between any two points of the square

Answers

The longest straight line that can be drawn between any two points of a square is the one that includes the points on the opposite corners of the squares. To determine the length of this straight line, we must first determine the length of the square's side. Since the area of the square can be calculated by taking the square of the side, then

s^2 = 72
s = 6 sqrt(2)

Then, using the Pythagorean theorem, we will find c (the longest side of straight line of the square) 

c^2 = a^2 + b^2

Upon substitution of the length of the square's side, we have
c^2 = (6 sqrt(2))^2 + (6 sqrt(2))^2
c^2 = 72+72
c = 72

The length of the longest line is 72.
 

Convert 9.75 millimeters to centimeters

Answers

the answer would be 0.975 because 9.75/10=0.975
the answer would be 0.975 because centimeters are 10 times greater than millimeters. you divide 9.75 by 10 to get 0.975. 

hope this helps! :)

4m+9+m+3=2m-m+9+m+9 what is the value of m

Answers

Answer:

m=2

Step-by-step explanation:

5m+12=2m+18

3m=6

m=2