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AnnZ [28]
3 years ago
14

Simplify. Assume that no denominator is equal to zero.

Mathematics
2 answers:
nikklg [1K]3 years ago
8 0

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{(2a^7b)^2}{32b^6}\implies \cfrac{(2^2a^{7\cdot 2}b^2)}{32b^6}\implies \cfrac{4a^{14}b^2}{32b^6}\implies \cfrac{a^{14}}{8b^6b^{-2}}\implies \cfrac{a^{14}}{8b^{6-2}}\implies \cfrac{a^{14}}{8b^4}

exis [7]3 years ago
4 0

Answer:

c is the answer

Step-by-step explanation:

All work is shown and pictured

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If x = 4 units, y = 5 units, and h = 4 units, find the area of the rhombus shown above using decomposition.
QveST [7]
A. 36 square units
(Please tell me if I’m right in the comments)
Have a wonderful day!
4 0
2 years ago
Points A,M and P are collinear with M in between A and P. If AP=29, AM =5x-3 and MP=8x+6, what does MP=?
charle [14.2K]

The length of MP is 22 units.

<h3>What is a Line Segment?</h3>

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure is given below shows a line segment AP, where the length of line segment AP refers to the distance between its endpoints, A and P.

Given that Points A, M and P are collinear with M in between A and P.

AP=29, AM =5x-3 and MP=8x+6,

A______________M______________P

⇒ AP = AM + MP

Substitute the values of AP = 29, AM =5x-3 and MP=8x+6,

⇒ 29 = 5x - 3 + 8x+6,

Rearranging the terms in the above equation,

⇒ 5x + 8x = 29 + 3 - 6

⇒ 13x = 26,

⇒ x = 26/13,

⇒ x = 2

So MP = 8x+6

Substitute the value of x = 2 in the above equation,

⇒ MP = 8(2) + 6

⇒ MP = 22

Hence, the length of MP is 22 units.

Learn more about the line segment here:

brainly.com/question/25727583

#SPJ1

6 0
2 years ago
The formula in finding the area of a circle can be derived usin the perimeter of a rectangle
Alex777 [14]

Yes absolutely as if you just take a circle and break the circle from the centre point into pieces such that the no

of pieces formed is infinite and and then when you take the pieces of the circle and arrange them in the form of rectangle then the area of the rectangle obviously equal to the area of circles.For better understanding I had attached a picture with the answer

Hope it helps

4 0
3 years ago
What’s 17/12 as a mixed number
ddd [48]

1 and 5/12 is the simplst mixed

3 0
3 years ago
Sam deposits $1,000 into an account that pays 6% simple interest annually. He plans to take the money out after 3.5 years. What
lara31 [8.8K]
Well, the formula for simple interest is 

I=prt

"I" is interest, "p" is the principal, "r" is the rate, and "t" is the time.

If you substitute the numbers, you get

I=1,000(0.06)(3.5)

When you multiply them together, you get 

I=210

So, the simple interest for 3.5 years is $210.

But, in order to get the total balance, you have to add the interest and the principal together.

B=1000+210 \\ B=1210

So, the balance after 3.5 years is $1,210.
5 0
3 years ago
Read 2 more answers
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