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Bond [772]
3 years ago
14

How to right a radical in exponential form

Mathematics
1 answer:
Law Incorporation [45]3 years ago
3 0

Answer:

  \sqrt[n]{x}=x^{\frac{1}{n}}

Step-by-step explanation:

The index of a radical is the denominator of a fractional exponent, and vice versa. If you think about the rules of exponents, you know this must be so.

For example, consider the cube root:

\sqrt[3]{x}\cdot \sqrt[3]{x}\cdot \sqrt[3]{x}=(\sqrt[3]{x})^3=x\\\\(x^{\frac{1}{3}})^3=x^{\frac{3}{3}}=x^1=x

That is ...

\sqrt[3]{x}=x^{\frac{1}{3}} \quad\text{radical index = fraction denominator}

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The scale of a map is 1 inch = 60 miles. Find the actual distance if the distance on the distance on the map is 3 1/2 inches.
laila [671]

Answer:

  • 210 miles

Step-by-step explanation:

The scale is

  • 1 in = 60 miles

Find the distance of equivalent to 3 1/2 in

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  • 3*60 + 1/2*60 miles =
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2 years ago
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alexandr402 [8]
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6 0
3 years ago
What is the value of x? <br> (x + 40)° (3x)°<br><br> A. 20<br> B.35 <br> C. 60<br> D. 70
Olenka [21]
Hello!

We are given the equation below.

x+40=3x

We want to get all of the variables on side. First of all let's subtract 40 from both sides.

x=3x-40

Now we rearrange our equation so the commutative property will work.

x=3x+(-40)
x=-40+3x

Now we subtract 3x from both sides.

-2x=-40

We divide both sides by -2.

x=20

Our answer is A) 20.

I hope this helps!
4 0
3 years ago
Read 2 more answers
Please help ASAP! 10 points + BRAINLIEST!
worty [1.4K]
Hello good person. The answer is C, (4,7). If you replace the x's in both equations (4) and the y's i both equations (7) you would get your answer for both.
4 0
3 years ago
When an exponent is a negative number, we can think of it as taking the...?
STALIN [3.7K]

Answer:

We can think of it as the zeros after the decimal point.

Step-by-step explanation:

Negative exponents always move the number to the right putting the decimal in front of it.

5 0
3 years ago
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