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goldfiish [28.3K]
3 years ago
9

What is the answer and how do you solve 21x^3/3x^−1

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
6 0

Answer:

  as written: 7x^2

  perhaps intended: 7x^4

Step-by-step explanation:

As written, the Order of Operations specifies that the only denominator factor is 3, so the expression is interpreted as ...

  \dfrac{21x^3}{3}x^{-1}=\dfrac{21}{3}x^{3-1}=7x^2

___

Sometimes grouping of denominator factors is intended, but parentheses are not written as they should be. If the intention is ...

  21x^3/(3x^-1)

then the simplification is ...

  \dfrac{21x^3}{3x^{-1}}=\dfrac{21}{3}x^{3-(-1)}=7x^4

_____

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  a^b/a^c = a^(b-c)

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Find the third side in simplest radical form:<br> 8<br> 15
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Answer:

length √17

Step-by-step explanation:

You must either share a diagram showing that this is a right triangle, or say in so many words that it's a right triangle.

We'll apply the Pythagorean Theorem.  First, let's square 8 and 15, obtaining 64 and 225.  Next, notice that the sum of 64 and 225 is 289, which is the square of 17.  The Pythagorean Theorem states in this case that 8^2 + 15^2 = 17^2.  

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5 0
3 years ago
A pool at a park takes up an area of 540 square yards. The lengthier 1 2/3 times as long as the width. What are the dimensions o
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6 0
3 years ago
Sales tax in the state of Florida is 7%. Bob purchased a coat that was marked $350.00. What is the total bill including tax?
pav-90 [236]
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4 years ago
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ehidna [41]

Answer:

156km

Step-by-step explanation:

Given data

The red Maserati traveled at a speed of 120km/h for 5 hours one day.

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It subtracts 2 then adds 5

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