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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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A 300$ mountain bike is discounted by 30%, and there is a 8% sales tax. Find the final cost of the mountain
morpeh [17]

Answer:

[see below]

Step-by-step explanation:

The bike's original price is 300 dollars. It has been discounted by 30%.

300 * 0.3 = 90

The price would be 90 dollars off.

300 - 90 = 210

$210 would be the subtotal.

There is also an 8% sales tax.

210 * 0.08 = 16.80

210 + 16.80 = 226.80

Hope this helps you!

7 0
3 years ago
Read 2 more answers
Find the perimeter of a<br> rectangle with length 6 units<br> and width 4 units.<br> wa
agasfer [191]

Answer:

The perimeter of the given rectangle  = 20 units.

Step-by-step explanation:

Length of the rectangle =  6 units

The width of the rectangle = 4 units

Now Perimeter of the Rectangle  = 2 ( LENGTH + WIDTH)

⇒Here, perimeter  = 2 ( 6 units + 4 units ) =  2 x ( 10 units)

                                 = 20 units

Hence, the perimeter of the given rectangle  = 20 units.

5 0
3 years ago
Evaluate 8•0.25-1+14
coldgirl [10]

Answer:

Hey Mate

Answer is 15

Hope it helps

4 0
3 years ago
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Pls help me I’m struggling
konstantin123 [22]

Answer:2

Step-by-step explanation:

4 0
3 years ago
The volume of a rectangular prism is 72 in3. If the height is 6 inches and the width is 3 inches, what is the length?​
stellarik [79]

Answer:

4

Step-by-step explanation:

Volume= length*width*height

72=Length*3*6

72=Length*18

divide by 18 both sides to get Length=4 inches

8 0
3 years ago
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