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aleksandrvk [35]
2 years ago
11

Which expression is equivalent to...? Screenshots attached. Please help! Thank you.

Mathematics
1 answer:
Studentka2010 [4]2 years ago
4 0

Answer:

4x^{3} y^{2} (\sqrt[3]{4 x y})

Step-by-step explanation:

Another complex expression, let's simplify it step by step...

We'll start by re-writing 256 as 4^4

\sqrt[3]{256 x^{10} y^{7} } = \sqrt[3]{4^{4} x^{10} y^{7} }

Then we'll extract the 4 from the cubic root.  We will then subtract 3 from the exponent (4) to get to a simple 4 inside, and a 4 outside.

\sqrt[3]{4^{4} x^{10} y^{7} } = 4 \sqrt[3]{4 x^{10} y^{7} }

Now, we have x^10, so if we divide the exponent by the root factor, we get 10/3 = 3 1/3, which means we will extract x^9 that will become x^3 outside and x will remain inside.

4 \sqrt[3]{4 x^{10} y^{7} } = 4x^{3} \sqrt[3]{4 x y^{7} }

For the y's we have y^7 inside the cubic root, that means the true exponent is y^(7/3)... so we can extract y^2 and 1 y will remain inside.

4x^{3} \sqrt[3]{4 x y^{7} } = 4x^{3} y^{2} \sqrt[3]{4 x y}

The answer is then:

4x^{3} y^{2} \sqrt[3]{4 x y} = 4x^{3} y^{2} (\sqrt[3]{4 x y})

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What is 1/3 + 3/9 equals to
monitta

Answer:

2/3

Step-by-step explanation:

1/3 is the same as 3/9 (multiply 3 to both numerator and denominator) 3/9+3/9 is 6/9. 6/9 can be simplified by dividing 3 to both sides to get 2/3.

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One fifth of the sum of two angles is 24 and half their difference is 14.Calculate the two angles
Brums [2.3K]
Let, the angles = a, b
It is given that, a+b /5 = 24
a + b = 120   --- equation (1)

a-b/2 = 14
a - b = 28  ---- equation (2)
a = 28 + b

Now, substitute this value of b in equation (1), 
28 + b + b = 120
2b = 120 - 28
b = 92/2
b = 46
Now, a = 28 + b = 28 + 46 = 74

In short, Your Angles are 74 and 46

Hope this helps!
4 0
3 years ago
Jeans are reduced from 28.00 to 18.20 during a sale at a department store. What percentage was the original price reduced?
Natali [406]

Answer:

The original price was reduced 35%

Step-by-step explanation:

we know that

Jeans are reduced from $28.00 to $18.20

In this problem

The original price of 28.00 represent 100%

so

using proportion

Find out what percentage represent the difference between the original price and the new price

\frac{28}{100}=\frac{28-18.20}{x}\\\\x=100(9.8)/28\\\\x=35\%

therefore

The original price was reduced 35%

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2 years ago
One of the angles of a parallelogram is 36° greater than another one. Find the angles of the parallelogram. PLEASE HELP IM DYING
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I would help but I need more information help me help you

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