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valina [46]
3 years ago
15

Find the product or quotient using only positive exponents

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7

Step-by-step explanation:

Given

\frac{3x^6}{6x^{-1}}

Required

Solve

In laws of indices, we have:

\frac{x^m}{x^n} = x^{m-n}

So, the expression becomes:

\frac{3x^{6 - (-1)}}{6}

\frac{3x^{6 +1}}{6}

\frac{3x^7}{6}

Divide 3 and 6 by 3

\frac{1x^7}{2}

\frac{x^7}{2}

This can be rewritten as:

\frac{1}{2}x^7

Hence:

\frac{3x^6}{6x^{-1}}= \frac{1}{2}x^7

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Divide and simplify 5/12÷20/36
gregori [183]
Hello there! The formula for dividing fraction is keep, change, flip. You keep the first fraction the same, change division into multiplication, and flip the second fraction over by its reciprocal. In this case, 5/12 remains the same, division becoems multiplication, and 20/36 flips over to become 36/20. So the expression becomes this:

5/12 * 36/20

Now, we multiply straight across. 5 * 36 is 180. 12 * 20 is 240. 180/240 is 3/4 in simplest form. There. The quotient is 3/4.
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3 years ago
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lidiya [134]

Answer:

The unit price is the cost per unit of an item or the cost/price for each item.

1) 4$ per pound. By simplifying the proportion (constant ratio) between the cost, and the pounds of apples. 3 pounds of apples cost 12$ → 3/3 pounds of apples cost 12/3$ → 4 dollars for every pound.

2) 2$ per pound. By evaluating the rate of change (change in the y over x or dependent variable over independent) in the equation: y = 2x. y is the cost in dollars, and x is the pounds of apples. So there are 2 pounds (weight) of apples for every dollar.

3) 3$ per pound. Given a graph with a y scaled by 3, and an x scaled by 1 with a graph y = x or 1 unit up for every unit right. This must be equivalent to y = 3x. Where y is labeled as the cost in dollars, and x as the weight in pounds. So there are 3 dollars for every pound of apples.

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2 years ago
Which of the following is equivalent to the expression shown (0.2x-1)+(0.3-0.01x)
Mars2501 [29]

Answer:

0.07x - 0.002x^2 - 0.3

Step-by-step explanation:

Given the expression shown (0.2x-1)+(0.3-0.01x)

Expand

(0.2x-1)+(0.3-0.01x)

= 0.2x(0.3)  - 0.2x(0.01x)-1(0.3) + 1(0.01x)

= 0.06x - 0.002x^2 - 0.3 + 0.01x

= 0.06x+0.01x - 0.002x^2 - 0.3

= 0.07x - 0.002x^2 - 0.3

This gives the required expression

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JulsSmile [24]

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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