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german
3 years ago
12

What is the simplified expression for,

Mathematics
1 answer:
Nostrana [21]3 years ago
6 0

Here are a few rules you need to know for this equation:

  • Multiplying exponents of the same base: x^m\times x^n=x^{m+n}
  • Dividing exponents of the same base: \frac{x^m}{x^n}=x^{m-n}
  • Turning a negative exponent to a positive one: x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m

So this is our algebraic expression: \frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}

Firstly, multiply 3^-4 and 3^2: \frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}

Next, divide:

\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}

Next, turn the negative exponent into a positive one: 3^12^{-1}= \frac{3}{2}

<u>Your final answer is 3/2, or 1.5.</u>

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Which graph represents the following piecewise defined function?
kenny6666 [7]
The correct answer is shown in attached figure
To find the correct graph, we should study the continuity of the function

Check the continuity at x = -2
from the left ⇒⇒ f(-2) = 1/2 * -2 + 3 = 2
from the right ⇒⇒ f(-2) = 2
∴ The function is continuous at x = -2

Check the continuity at x = 3
from the left ⇒⇒ f(3) = 2
from the right ⇒⇒ f(3) = 2*3 - 3 = 3
∴ The function is jump discontinuous at x = 3


From the previous results the correct graph is the last as shown in attached graph.



5 0
3 years ago
Read 2 more answers
What is the LCD of 1/6 and 5/4
slavikrds [6]

Answer:

12

Step-by-step explanation:

6  = 2*3

4 = 2*2

The least common multiple is

2*2*3 = 12

The least common denominator is 12

7 0
3 years ago
Read 2 more answers
Is this correct ? My answers 10 btw. NO BEGINNERS , &amp; whoever answers first gets a thanks :)
borishaifa [10]
The answer would be 54
6 0
3 years ago
Point M is on line segment overline LN . Given MN = 3x , LN = 4x + 9 , and LM = 2x + 7 determine the numerical length of LM .
xxTIMURxx [149]

Answer: 11

Step-by-step explanation:just trust me

7 0
3 years ago
Pls help, I don’t understand how to do this
MAVERICK [17]

Answer:

5 parts are shaded and 4 parts are white so:

There are 9 parts all together.

We can then form ratio's of the white areas and the shaded areas:

White Area Ratio =

\frac{4}{9}

Shaded Area Ratio =

\frac{5}{9}

Let the area of sqaure be equated to x, which means let the entire area of the square equal to x:

x = Area of whole square

Now we can form an equation :

\frac{5}{9} x = 165

So now we just need to solve for x:

x = \frac{165}{ \frac{5}{9} }

x = 297

The area of the square is:

297 {cm}^{2}

4 0
3 years ago
Read 2 more answers
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