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Salsk061 [2.6K]
2 years ago
15

Simplify this answer please help!

Mathematics
1 answer:
aliya0001 [1]2 years ago
5 0

Answer:

(hope this helps can I pls have brainlist (crown) ☺️)

Step-by-step explanation:

7^8 x 7^3 x 7^4 / 7^9 7^5

= 7^(8+3+4) / 7^(9+5)

= 7^15 / 7^14

= 7^(15-14)

= 7.

When the bases of the numbers are the same when multiplying numbers with exponents, you can just add the exponents like so:

7^8 x 7^3 x 7^4= 7^15

Now, look at the rest of the simplified equation and do the same to the denominator:

 7^15 / 7^9 x 7^5 ⇒ 7^15/ 7^14

When the bases are the same in the fraction, you are allowed to subtract the exponents. This will lead you to the simplified answer  = 7^15-14 = 7^1  = 7

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Will be giving brainliest to the correct one, no links or account will be reported:)
aleksandr82 [10.1K]

Answer:

x = 38

∠P = 26º

Step-by-step explanation:

The sum of the angle in a triangle is 180

x + (x + 78) + (x - 12) = 180

Combine like terms

3x + 66 = 180

Subtract 66 from both sides

3x = 114

Divide both sides by 3

x = 38

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

∠P = x - 12

∠P = 38 - 12

∠P = 26º

7 0
3 years ago
Read 2 more answers
in a video game, each player starts the game with k points and loses 2 points each time a task is not completed. If a player who
KIM [24]
The value of k is 400 points.

If the player fails to complete 100 tasks, then they lost 200 points. At the end of the game, they had 200 points.

We can write and solve the following equation to determine where they started.

x - 200 = 200
x = 400
8 0
3 years ago
Read 2 more answers
The population of two different villages is modeled by the equations shown
vlada-n [284]

Answer:

Year = 1995 and population = 315

Year = 2015 and population = 715

Step-by-step explanation:

It is given that the population of two different villages is modeled by the given equations:

y=x^2-30x+540

y=20x+15

The population of both villages are same after x years after 1980 if

x^2-30x+540=20x+15

x^2-30x+540-20x-15=0

x^2-50x+525=0

Splitting the middle term, we get

x^2-15x-35x+525=0

x(x-15)-35(x-15)=0

(x-15)(x-35)=0

x=15,35

It means, after 15 or 35 years, the population will same.

For x=15, years is 1980+15=1995 and population is  

y=20(15)+15=315

For x=35, years is 1980+35=2015 and population is  

y=20(35)+15=715.

Therefore, population are equation in Year = 1995 and population = 315 or Year = 2015 and population = 715.

7 0
3 years ago
Expand the following.<br> (3x + 2)2<br> A.9x2+6x+4<br> B.9x2+4<br> C.3x2+4<br> E.9x2+12x+4
PolarNik [594]

Step-by-step explanation:

E

working ;

(3x+2)^2

*Apply Perfect Square Formula : (a+b) =a^2+2ab+b^2

a = 3x,b = 2

(3x)^2 + 3x.2+2^2

finally Answer is:

= 9x^2 + 12x +4

5 0
2 years ago
1/7 / 4 as a fraction
aleksandrvk [35]
1/7/4 is a fraction.
6 0
2 years ago
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