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Ad libitum [116K]
2 years ago
7

Simplify (x^2)^3*5x/6x^2*15x^3

Mathematics
1 answer:
nasty-shy [4]2 years ago
8 0

When we Simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3], the result obtained is (1/18)x^2

<h3>Data obtained from the question</h3>
  • [(x^2)^3 × 5x] / [6x^2 × 15x^3]
  • Simplification =?

<h3>How to simplify [(x^2)^3 × 5x] / [6x^2 × 15x^3]</h3>

[(x^2)^3 × 5x] / [6x^2 × 15x^3]

Recall

(M^a)^b = M^ab

Thus,

(x^2)^3 = x^6

  • [(x^2)^3 × 5x] / [6x^2 × 15x^3] = [x^6 × 5x] / [6x^2 × 15x^3]

Recall

M^a × M^b = M^(a+b)

Thus,

x^6 × 5x = 5x^(6 + 1) = 5x^7

6x^2 × 15x^3] = (6×15)x^(2 + 3) = 90x^5

  • [x^6 × 5x] / [6x^2 × 15x^3] = 5x^7 / 90x^5

Recall

M^a ÷ M^b = M^(a - b)

Thus,

5x^7 ÷ 90x^5 = (5÷90)x^(7 - 5) = (1/18)x^2

Therefore,

  • [(x^2)^3 × 5x] / [6x^2 × 15x^3] = (1/18)x^2

Learn more about algebra:

brainly.com/question/2768008

#SPJ1

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Step-by-step explanation:

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3 0
3 years ago
HELP ME TO ANSWER THIS PLEASE JUST KINDA CONFUSED.
yulyashka [42]

Answer:

A = 5

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Step-by-step explanation:

This was very simple!

Nancy needs at least 15 boxes of travoprost but she only has 10. To find out how many she needs, we subtract 15 from 10 to get 5 boxes

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Therefore A = 5 boxes; B = 9 boxes

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3 0
3 years ago
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Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each box had 10 crayons. How many crayons were left over
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4 years ago
How many 5/8 foot pieces of wood can you cut from a board that is 4 5/8 feet long?
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keep the first number, change the sign into multiplication, and flip the last fraction
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3 years ago
Pls help <br> Simplify <br> 6m+ 7n+ 5m - 3n
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<span>6m+ 7n+ 5m - 3n
(6m + 5m) + (7n - 3n)
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4 years ago
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