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Alexxx [7]
3 years ago
13

Choose the correct simplification of the expression g to the power of 5 times h to the power of 4 all over g to the second power

times h to the third power.
A g7h
B g3h
C g7h7
D g to the third power over h to the seventh power
Mathematics
2 answers:
Greeley [361]3 years ago
5 0
Your problem looks like this:
\frac{ {g}^{5} \times  {h}^{4}  }{ {g}^{2}  \times  {h}^{3} }
One rule of indicies is that when you divide numbers with indicies and the same base, you minus the indicies.
This means that you just need to do
{g}^{5}   \div  {g}^{2}  = {g}^{3}
and
{h}^{4}   \div  {h}^{3}  =  {h}^{1}  = h
Therefore, your answer is
{g}^{3} h
Nikolay [14]3 years ago
4 0

Just stopping by to let you give brainliest to CarlaFossil320.

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Colby worked three more hours on tuesday than he did on monday. on wednesday, he worked one hour more than twice the number of h
bulgar [2K]
Monday = X
Tuesday = X + 3 (Problem says three more hours than he worked on Monday)
Wednesday = 2x + 1
(Problem says he worked 1 hour more than two times the number of hours on monday) 
This side of the equation would be - 
X + (X +3) + (2X + 1) 
That's monday plus tuesday plus wednesday. 
Then you would set up the other side of the equation. 
This would be the total number of hours so it would be equal to monday, tuesday and wednesday combined. 
2 + (5x) 
Two hours more than five times the amount of Monday (X) 

Now we put this together to have an equation 
X + (X + 3) + (2x+ 1) = 2 + 5x 
Now we need to collect like terms
4x + 4 = 2 + 5x 
I just simplified the left side of the equation
Now I will subtract 4x from the left side to get all the variables on one side 
4 = 2 + x 
Now I subtract 2 to get the numbers both on one side
2 = x 
So, Colby worked 2 hours on Monday.
6 0
4 years ago
Someone please help me! I really need help with this!!!
Nutka1998 [239]

Answer:

y-8=2(x-9)

Step-by-step explanation:

m=y2-y1/x2-x1

10-8/10-9=2

y-y1=m(x-x1)

y-8=2(x-9)

5 0
3 years ago
Set up equations and solve them to find the unknown numbers in the following cases:
noname [10]

Answer:

the answer is 21

Step-by-step explanation:

the number she thinks of is 21 add 21 + 19 to get 40.

divide 40 by 5 to get 8.

3 0
2 years ago
new car is purchased for 17300 dollars. The value of the car depreciates at 9.25% per year. What will the value of the car be, t
mojhsa [17]

Answer:

$4034

Step-by-step explanation:

The new value is given by

A=P(1-i)^{n} where A is the final value, P is initial value, i is depreciation rate in decimal, n is duration in years. Substituting 17300 for P amd 15 for n then

A=17300(1-0.0925)^{15}=4034.0902388653093042610864428203245692614\approx 4034

7 0
3 years ago
How much would a $75 video game be with 8.25% sale tax​
Pavlova-9 [17]

Answer:

1 Simplify 75\times 875×8 to 600600.

600\div 25

600÷25

2 Simplify 600\div 25600÷25 to 24

24

Step-by-step explanation:

7 0
3 years ago
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