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Naily [24]
2 years ago
8

%20%7Bx%7D%5E%7Bc%20%2B%20a%7D%20%7D%7B%20%7Bx%7D%5E%7Ba%7D.%20%7Bx%7D%5E%7Bb%7D%20%20.%20%7Bx%7D%5E%7Bc%7D%20%7D%20%20%5C%5C%20" id="TexFormula1" title="Simplify: \frac{ {x}^{a + b} . {x}^{b + c} {x}^{c + a} }{ {x}^{a}. {x}^{b} . {x}^{c} } \\ " alt="Simplify: \frac{ {x}^{a + b} . {x}^{b + c} {x}^{c + a} }{ {x}^{a}. {x}^{b} . {x}^{c} } \\ " align="absmiddle" class="latex-formula">
Need help please.​
Mathematics
1 answer:
kozerog [31]2 years ago
7 0

Step-by-step explanation:

\bf \underline{Solution-} \\

We have to simplify the given expression.

\rm =  \dfrac{ {x}^{a + b} \cdot {x}^{b + c} \cdot {x}^{c + a}  }{ {x}^{a} \cdot {x}^{b} \cdot {x}^{c} }

We know that:

\rm \longmapsto {x}^{a} \times  {x}^{b}  =  {x}^{a + b}

\rm \longmapsto \dfrac{ {x}^{a} }{ {x}^{b} } =  {x}^{a -  b}

Therefore, we get:

\rm =  \dfrac{ {x}^{(a + b) + (b + c) + (c + a)}}{ {x}^{a + b + c} }

\rm =  \dfrac{ {x}^{2(a + b+ c)}}{ {x}^{a + b + c} }

\rm = {x}^{2(a + b+ c) - (a + b + c)}

\rm = {x}^{a + b + c}

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What is the slope of a line that is perpendicular to the line represented by the equation y = -2/5 x+ 4/5
sasho [114]
The slope of the given equation is -2/5 so the slope of the perpendicular is 5/2.
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3 years ago
An ice cream factory makes 200 quarts of ice cream in 2 hours. How many quarts could be made in 36 hours? What was the rate per
frez [133]

Answer:

Step-by-step explanation:

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5 0
2 years ago
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Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute. Salamander digital offers cellular phone
Ivahew [28]

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

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This is calculated as:

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Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

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4 0
3 years ago
Which table values could be generated by the equation 4y+2x=16
Neko [114]

Answer:

x=0, y=4

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Step-by-step explanation:

3 0
2 years ago
Rico earns a weekly salary of $750 and a 5% total Commission on his sales Sean earns a weekly salary of $1,100 and a 2.5% commis
NNADVOKAT [17]
To answer this item, we let x be the amount of sales for each of them. Their weekly earnings would be as follows,

Rico:
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Sean: 
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Simplifying,
      0.025x = 350

The value of x from the equation is 14000.

Answer: $14,000. 
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3 years ago
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