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2 years ago

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

1 answer:

5 0

(2^1/2x2^3/4)^2
 ((2^1/2)(2^3/4))^2
 ((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. sqrt 2^5

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(B)The GCF of the numbers(28 and 36) in each term in the expression is 4.

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Step-by-step explanation:

Given the expression: $28a+36ab$

If we write it as a product, we obtain:

$28a+36ab=4a(7+9b)$

We can see the following

The GCF of the numbers(28 and 36) in each term in the expression is 4.
The GCF of the variables(a and ab) in each term in the expression is a.
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The correct options are B, C, and E.

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