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Triss [41]
3 years ago
13

What is the simplified expression for 3 to the power of negative 4 multiplied by 2 to the power of 3 multiplied by 3 to the powe

r of 2 whole over 2 to the power of 4 multiplied by 3 to the power of negative 3?
3 over 2
3 to the power of 2 over 2 to the power of 2
3 to the power of 2 over 2
2 to the power of 4 over 3

Mathematics
2 answers:
DochEvi [55]3 years ago
6 0
The answer is in the picture

VARVARA [1.3K]3 years ago
4 0

Answer: Hello!

The equation described is:

\frac{3^{-4} *2^{3}*3^{2}  }{2^{4}*3^{-3}  }

You can use the next relations to simplify it a bit:

x^{-a} = \frac{1}{x^{a} }

x^{a} *x^{b} = x^{a + b}

Then our equation results in:

\frac{3^{-4} *2^{3}*3^{2}  }{2^{4}*3^{-3}  } = 3^{-4} *2^{3}*3^{2} *2^{-4}*3^{3} = 3^{-4 +2 + 3}*2^{3 - 4} = 3^{1} *2^{-1}  = \frac{3}{2}

Then the correct answer is the first option.

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3 years ago
What is the length of the line segment with endpoints (11,−4) and (−12,−4) ?
bija089 [108]

Answer:

Length of the line segment with endpoints (11,−4) and (−12,−4)  is 23 units

Step-by-step explanation:

Given:

Endpoints are (11,−4) and (−12,−4)

To Find:

The length of the line = ?

Solution:

The length of the line can be found by using the distance formula

\sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2

Here

x_1= 11

x_2= -12

y_1= -4

y_2= -4

Substituting the values

Length of the line

=>\sqrt{((-12)- 11)^2 +((-4) - (-4))^2

=>\sqrt{(-12- 11)^2 +(-4+4)^2

=>\sqrt{(-23)^2 +(0)^2

=>\sqrt{529}

=>23

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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The weight of a bucket of fish was more than 23 pounds. Doria wants to write an inequality for the weight of the bucket of fish.
gtnhenbr [62]

Answer:w is greater than 23

Step-by-step explanation:

Given

The weight of the bucket was more than 23 pounds i.e.

\Rightarrow w>23

It is w is greater than 23

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