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Talja [164]
1 year ago
8

Drag each expression to an equivalent form.

Mathematics
1 answer:
Pepsi [2]1 year ago
3 0

The result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

<h3>Properties of exponents</h3>

Some of the properties of exponents are expressed as shown below;

1) a^-n = 1/a^n

In order to answer the given questions, we will use the following properties above;

3^-4 = 1/3^4 where a is equivalent to 3 and n is equivalent to 4

Similarly;

1/2^3 = 2^-3 = 1/8

For the expression 1/3^-2
1/3^-2 = 1/(1/3^2)

1/3^-2 = 3^2

For the expression 5^-1
5^-1 = 1/5^1
5^-1 = 1/5

Also for 1/5^2
1/5^2 = 1/25 = 5^-2

Hence the result of the given exponential expression is given as 1/8, 3^2, 1/5 and 5^-2

Learn more on exponent here: brainly.com/question/11975096

#SPJ1

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-7 2/3 +(5 1/2) + 8 3/4 =
drek231 [11]

Answer:

6  7/12

Step-by-step explanation:

-7 2/3 +(5 1/2) + 8 3/4

Get a common denominator of 12

-7 2/3 * 4/4 +(5 1/2 +6/6) + 8 3/4*3/3

-7 8/12    + 5 6/12     + 8 9/12

Subtract the  first two terms first

They have opposite signs so subtract and take the sign of the larger

-7 8/12    + 5 6/12    = -2 2/12

-2  2/12 + 8 9/12

They have opposite signs so subtract and take the sign of the larger

-2  2/12 + 8 9/12 = 6 7/12

7 0
3 years ago
Find the surface area of the pyramid. The side lengths of the base are equal.
Pachacha [2.7K]

Answer:

A = 177.46

Step-by-step explanation:

A = lw + l\sqrt{(\frac{w}{2})^{2} + h^{2}} + w \sqrt{(\frac{l}{2})^{2} + h^{2}

A = 6*6+6root((6/2)^2+11.4^2)+6root((6/2)^2+11.4^2)

A = 177.46

4 0
3 years ago
Read 2 more answers
The flower shop displays a different number of roses in the front window every month. It displayed 4 roses in February, 12 roses
creativ13 [48]

Answer:

324

Step-by-step explanation:

4×3=12

12×3=36

36×3=108

108×3=324

it's being multiplied by 3's

7 0
3 years ago
Alex needs to catch a train. The train arrives randomly some time between $1:00$ and $2:00$, waits for $10$ minutes, and then le
creativ13 [48]

The probability that the train will be there when Alex arrives is 5/18

If Alex arrives at any time after 1.20pm the chances that train will  be there is 1/3.

However  if alex arrives at 1.00pm exactly there is no chance the train will be arrive there.

The probability that the train will be there increase linearly to 1/3 as alex's arrival time moves from 1.00pm to 1.20pm.

By arranging the probabilities over the first 20 minutes to get a 1/6 chance the train will be there if alex arrives between 1.00pm to 1.20pm

we get the final answer by

=1/3( 1/6 + 1/3 + 1/3)

=5/18

So, the probability that the train will be there when Alex arrives is 5/18

Learn more about PROBABILITY here

brainly.com/question/24756209

#SPJ4

3 0
2 years ago
A parking lot has two entrances. Cars arrive at Entrance 1 according to a Poisson Probability Distribution at an average of thre
dusya [7]

Answer:

<u><em>note:</em></u>

<u><em>please find the attached solution</em></u>

7 0
3 years ago
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