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Alik [6]
3 years ago
15

what is the simplified form of the following expression? Assume X 0 and y 0. 2(^4 sqrt 16 x) -2(^4 sqrt 2y )+3 (^4 sqrt 81x ) -4

( ^4 sqrt 32y)
Mathematics
2 answers:
eduard3 years ago
7 0

For this case we have the following expression:

2(\sqrt[4]{16x})-2(\sqrt[4]{2y})+3(\sqrt[4]{81x})-4(\sqrt[4]{32y})

Rewriting the numbers within the roots we have:

2(\sqrt[4]{2*2*2*2x})-2(\sqrt[4]{2y})+3(\sqrt[4]{3*3*3*3x})-4(\sqrt[4]{2*2*2*2*2y})

Then, by properties of powers we have:

2(\sqrt[4]{2^4x})-2(\sqrt[4]{2y})+3(\sqrt[4]{3^4x})-4(\sqrt[4]{2^42y})

Then, by radical properties we have:

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

Rewriting the expression we have:

4\sqrt[4]{x}-2\sqrt[4]{2y}+9\sqrt[4]{x}-8\sqrt[4]{2y}

Finally, adding similar terms we have:

(4+9)\sqrt[4]{x}-(2+8)\sqrt[4]{2y}

13\sqrt[4]{x}-10\sqrt[4]{2y}

Answer:

The simplified form of the expression is:

13\sqrt[4]{x}-10\sqrt[4]{2y}

galina1969 [7]3 years ago
6 0

Answer is C

Just took the test.

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Value of (–3/8) × (+8/15). <br><br> A. 11/15<br> B. 11/23<br> C. –1/5<br> D. –1/3
svet-max [94.6K]

ANSWER

The correct answer is C

EXPLANATION

We want to find the value of

- \frac{3}{8}   \times  \frac{8}{15}

This is the same as:

-  \frac{3}{8}  \times  \frac{8}{3 \times 5}

We cancel out the common factors to get:

-  \frac{1}{1}  \times  \frac{1}{1 \times 5}

We simplify to get:

-  \frac{1}{5}

The correct answer is C

5 0
3 years ago
Please hurry in need for help!!
d1i1m1o1n [39]

5 × x = 1/4        x = 1/4 ÷ 5        x = 1/20

7 0
3 years ago
What is the CIRCUMFERENCE of a circle with a radius of 18m?
Lyrx [107]

Answer:

the first one is  113.04m

the second one is 615.44 cm

the third one is 530.66 ft

the fourth one is 163.28 in

the fifth one is 31.4 m

the sixth one is 28.26 m

the seventh one is 314

the eightth one is 50,24

finally finished:)))

7 0
2 years ago
2 2/3× 4 1/5 help me plzzzzz!!!
Rus_ich [418]
First let's multiply the whole numbers 2 and 4. Obviously that is 8. Now let's put aside the whole number and multiply fractions.

2/3 x 1/5 is equal to 2x1/3x5 so it's 2/15 which is already in simplest form. 

So your final answer is 8 and 2/15 :)

If this was helpful would you mind marking mine as brainliest please? It helps me rank up a lot!
8 0
3 years ago
5(10-6)<br> 6(4+10)<br> Help me, I find the bracket confusing
ira [324]

Answer:

20

30

Step-by-step explanation:

Do 5 times ten.

5 times -6

Gives you 20

Then do 6 times 4, 6 times 10, to get the final answer of 30.

4 0
3 years ago
Read 2 more answers
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