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Natalka [10]
3 years ago
15

Which expression is equivalent to (2^1/2x2^3/4)^2?

Mathematics
1 answer:
kkurt [141]3 years ago
5 0
<span>(2^1/2x2^3/4)^2
</span><span> ((2^1/2)(2^3/4))^2
</span> ((2^1/2)^2)((2^3/4)^2)
 (2)(2^3/2)
 (4*2^3)^(1/2)
 (2*2*2^3)^(1/2)
 (*2^5/2)
 The answer for this case is 
  b. <span>sqrt 2^5</span> 
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Answer:

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Step-by-step explanation:

Let the line is y=mx+b where m is slope and b is y-intercept.

The line is parallel to 2x+3y=3, slope of both the lines will be same.

Find the slope of 2x+3y=3

3y=3-2x\\y=-\frac{2}{3}x+1

Slope of line=-\frac{2}{3}

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So the line will be y=-\frac{2}{3}x+b

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-4=-\frac{2}{3}\times 3+b\\-4=-2+b\\b=-2\\

Hence the line is y=-\frac{2}{3}x-2

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