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Furkat [3]
3 years ago
7

How do you solve this problem ?

Mathematics
2 answers:
SVEN [57.7K]3 years ago
7 0

9514 1404 393

Answer:

  2\cdot y^{\frac{5}{8}}

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)^c=a^{bc}\\\\(ab)^c=a^c\cdot b^c\\\\\sqrt[n]{x^m}=x^{\frac{m}{n}}

__

So, the given expression can be rewritten to ...

  (4\sqrt[4]{y^5})^{\frac{1}{2}}=(4^{\frac{1}{2}})(y^{\frac{5}{4}})^{\frac{1}{2}}= 2\cdot y^{\frac{5}{4}\cdot\frac{1}{2}}=\boxed{2\cdot y^{\frac{5}{8}}}

_____

k = 2; n = 5/8

svetlana [45]3 years ago
3 0

Answer: 2y124√y12

How to: <u>Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.</u>

Have a great day and stay safe !

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Answer:

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Step-by-step explanation:

Given the decimal

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There are three digits to the right of the decimal point, therefore multiply and divide by 1000.

Thus,

0.333=\frac{0.333\cdot \:\:1000}{1000}

         =\frac{333}{1000}         ∵ 0.333×1000 = 333

Let us check if we can reduce the fraction \frac{333}{1000}

For this, we need to find a common factor of 333 and 1000 in order to cancel it out.

But, first, we need to find the Greatest Common Divisor (GCD) of 333, 1000

<u>Greatest Common Divisor (GCD) : </u>

The GCD of a, b is the largest positive number that divides both a and b without a remainder.

Prime Factorization of 333:      3 · 3 · 37

Prime Factorization of 1000:      2 · 2 · 2 · 5 · 5 · 5

As there is no common factor for 333 and 1000, therefore, the GCD is 1.

Important Tip:

  • As GCD is 1, therefore the fraction can not be simplified.

Therefore, decimal 0.333 to a fraction in simplest form is:   \frac{333}{1000}

4 0
3 years ago
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Sever21 [200]
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I hope this helps.
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2 years ago
As x approaches 4, the value of 4x + 3 approaches<br> Gri
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Answer:

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SOHCAHTOA

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