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natali 33 [55]
4 years ago
13

(5x^4y^3)^2 Simplify

Mathematics
2 answers:
Allisa [31]4 years ago
7 0

This simplifies to 25x^8 16y^6.

You square everything in this probelm to get rid of the parentheses.

Svetllana [295]4 years ago
5 0
<h3>Question:</h3>

(5x^4 y³)² Simplify

<h3>Solution:·</h3>

25x^8 y^6

<h3>Step-by-step:</h3>

Apply exponent rule : ( a · b )^n = a^n b^n

= 5² <u>(x^4)²</u> (y³)²

   <u>(x^4)²</u> : x^8

= 5²x^8<u>(y³)²</u>

  <u>(y³)²</u> : y^6

= <u>5²</u>x^8y^6

  <u>5²</u> : 25

<h3>= 25x^8y^6</h3><h3 />

Hope this helped! :)



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Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets
Yuliya22 [10]

Answer:

\frac{1}{27}

Step-by-step explanation:

Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...

\frac{1}{3} * \frac{1}{3} * \frac{1}{3}  = \frac{1}{27}

Finally, we see that the probability of all three balls landing in the same bucket is \frac{1}{27}

8 0
3 years ago
Malcolm ran the 440-yard and the 220-yard dash at a track meet.There are 3 in one yard. How many total feet did Malcolm run?Esti
Tresset [83]

For this case we have the following conversions:

1 yard = 3 feet

The estimate distance Is:

400yd = 1200feet

200yd=600 feet

Ten, the estimate Is:

1200 + 600 = 1800 feet

The real distance Is:

The total distance in yards is given by:

440 + 220 = 660 yd

Then, let's transform this distance to feet, with the given conversion:

660 * 3 = 1980 feet

The distance traveled is reasonable for a person

Comparing the estimate and the actual answer, the distance malcom Ran Is reasonable.

Answer:

Malcolm ran 1980 feet.

The distance is reasonable.

5 0
3 years ago
Read 2 more answers
If n is the square root of a positive integer, and is divisible by both 2 and 6, what is the least possible value of n?
Paraphin [41]
6 is the square root of 36 and is divisible by 2 and 6. 
6 0
3 years ago
I need help please be sure of your answer.
Ilia_Sergeevich [38]

Answer:

Step-by-step explanation:

The top has area (3 cm)(5 cm), or:                                 15 cm^2

The bottom has the same area:                                      15 cm^2

Each of the ends has the area (3 cm)(2.5 cm):                7.5 cm^2

                                                                                           7.5 cm^2

Each of the sides has the area (2.5 cm)(5 cm)                12.5 cm^2

                                                                                            12.5 cm^2

                                                                                        -------------------

                                                                                             70 cm^2

The total lateral area is 70 cm^2

                     

8 0
3 years ago
Math
SIZIF [17.4K]

Answer:

Susanne is 16

Step-by-step explanation:

Let x be Dakota's age

x + 3 = Susanne's age

4(x+3) = Bob's age

Sum of their age is:

x + x + 3 + 4(x + 3) =

Simplify:

x + x + 3 + 4x + 12

6x + 15 = 93

6x = 78

x =  13

Susanne is 3 more than x (13 +3) which is 16

6 0
4 years ago
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