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Studentka2010 [4]
3 years ago
11

What values complete each statement? enter your answers in the boxes. (7√)2 = in simplest form. By the power of a power rule, (7

12)2=722. So, 712 must equal in radical form.
SAT
1 answer:
g100num [7]3 years ago
6 0

By the power rule, the radical expression become (7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }. Hence expressing 7^{\frac{1}{2} } as a radical is \sqrt{7}

<h3>Power rule in indices </h3>

Given the expression;

(\sqrt{7} )^2

This is expressed as;

(\sqrt{7})^2 = (7^{\frac{1}{2} })^2\\(\sqrt{7})^2 = 7^{\frac{1}{2} \times 2}\\(\sqrt{7})^2=7^1\\(\sqrt{7})^2 =7

By the power rule, the radical expression become (7^{\frac{1}{2} })^2 = 7^{\frac{2}{2} }. Hence expressing 7^{\frac{1}{2} } as a radical is \sqrt{7}

Learn more on radical function here: brainly.com/question/13430746

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5 0
3 years ago
Plz help me with this question!!
Snowcat [4.5K]

Answer:

B)x^3

Explanation:

Given,

(x^8)/(x^2)=y^12

We can simplify the following by bringing the (x^2) above the division line which makes the power negative.

(x^8)*(x^-2)=y^12

or,(x^(8-2))=y^12

or,x^6=y^12 .........(1)

The question is, (y^8)/(y^2)=

Simplifying the question,

(y^(8-2))

or,y^6

Now,from ...(1),

x^6=y^12

or,(x^3)^2=(y^6)^2

Removing the squares,

x^3=y^6

Thus,we get the answer of the question,

(y^8)/(y^2)=y^6=x^3

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3 years ago
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