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Lapatulllka [165]
2 years ago
7

What is the radical form of the expression? (5x3y4)37 ↡

Mathematics
1 answer:
hram777 [196]2 years ago
4 0

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Step-by-step explanation:

Given expression is:

(\sqrt{5x^3y^4})^{\frac{3}{7}

In order to convert an exponent into radical form, the power should be in the form of 1/x where x is any number

so,

in case of 3/7, it will be broken down

(\sqrt{5x^3y^4})^{3*\frac{1}{7}}

The 1/7 will be converted into base of radical while 3 will be he exponent

\sqrt[7]{(5x^3y^4)^3}

Multiplying exponents

=\sqrt[7]{5^3x^{3*3}y^{4*3}}\\=\sqrt[7]{125x^9y^{12}}

Hence,

Option 4: \sqrt[7]{125x^9y^{12}} is the right answer

Keywords: Radicals, Exponents

Learn more about exponents at:

  • brainly.com/question/4939434
  • brainly.com/question/4980053

#LearnwithBrainly

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A company makes wax candles in the shape of a solid sphere. Suppose each candle has a diameter of 15 cm. If
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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 70,650 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

V=\frac{4}{3}\pi r^3, where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \frac{15}{2}=7.5 cm.

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot (7.5\text{ cm})^3

\text{Volume of one candle}=\frac{4}{3}\cdot 3.14\cdot 421.875\text{ cm}^3

\text{Volume of one candle}=1766.25\text{ cm}^3

Now we will divide 70,650 cubic cm of wax by volume of one candle.

\text{Number of candles}=\frac{70,650\text{ cm}^3}{1766.25\text{ cm}^3}

\text{Number of candles}=\frac{70,650}{1766.25}

\text{Number of candles}=40

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8 0
2 years ago
The number that is 75% of one less than a number n.
gizmo_the_mogwai [7]

Answer:

The number is n-0.75

Step-by-step explanation:

Here in this question, we are interested in giving a number which is 75% of 1 less than a number n.

The first thing we do here is to calculate the value of 75% of 1.

That would be;

75/100 * 1 = 0.75

So this value less than n will be;

n- 0.75

7 0
2 years ago
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This is the concept of application of the Pythagorean theorem. The resultant speed of the motorboat which is crossing the river that has a northward current of 5 m/s at a speed of 8 m/s will be given by:
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6 0
2 years ago
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Black_prince [1.1K]
It is important to note that all the information's required are already given in the question

Probability that a day will be hot = 0.15 + 0.10
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13x plus 27 is the algebraic expression.
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