Answer:
First picture: -4,913
Second picture: 20.25
Step-by-step explanation:
-17^5/-17^2 = -17^3
-17 × -17 × -17 = -4913
4.5^5/4.5^3 = 4.5^2
4.5 × 4.5 = 20.25
Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)
The exponents were those tiny numbers you saw.
Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.
When you multiply the same whole number, you can add the exponents.
Hope this helps! Best of luck :)
Answer:
Length = 27 metres
Width = 9 metres
Step-by-step explanation:
Consider the width to be x.
Then the length will be 3x.
The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.
So the dimensions will become:
Length=3x-4
Width=x+1
Now solve for the variable x using the formula for perimeter of a rectangle:
P = 2(l+b)
66 = 2(3x-4+x+1) (Divide both sides by 2 and simplify the parentheses)
33 = 4x-3 (Add 3 to both sides)
36 = 4x (Divide both sides by 4)
x = 9
Now plug-in the value of x into the original dimensions which were:
Length=3x
Width=x
So the dimensions are:
Length = 27 metres
Width = 9 metres
x/.75=x-56/0.4
0.4x=.75x-42
-0.35x=-42
x=120
I set up a proportion in which x=the tank when it is 3/4 full. When the tank is 3/4 full, solving the proportion tells us the x=120 litres. 120/3=40, and 120+40 is 160, showing that a tank completely full would indeed hold 160 litres.
Hope this helps!