A)
a³ * a⁵ = a⁵⁺³
= a⁸
b)
b⁶ / b³ = b⁶⁻³
= b³
c)
4c⁷ * 3c⁵ = (4 * 3)c⁷⁺⁵
= 12c¹²
d)
12p⁶ / 4p² = (12 / 4)p⁶⁻²
= 3p⁴
e)
(3p²q³)³ = (3)³(p²)³(q³)³
= 27p²⁽³⁾q³⁽³⁾
= 27p⁶q⁹
f)
Shaded area = Area of large rectangle - Area of smaller rectangle
Area of large rectangle = 5(4x - 2)
= 20x - 10
Area of smaller rectangle = 3(2x - 3)
= 6x - 9
Shaded area = (20x - 10) - (6x - 9)
= 20x - 6x - 10 + 9
= 14x - 1
Volume is Length x Width x height.
The pool is cubical, so the length and width are the same dimension.
First find the volume of the pool that is filled by water:
Volume = 12 x 12 x 2 = 288 cubic meters.
Now convert cubic meters to liters:
1 cubic meter = 1,000 liters
288 x 1000 = 288,000 liters
The least common denominator is
20 = 2 * 2 * 5
25 = 5 * 5
The least common denominator has two 5s and two 2s.
LCD = 2*2*5*5 = 100
17/20 = 17 * 5/ 20*5 = 85 / 100
21/25 = 21* 4/25*4 = 84 / 100
Talk about close
17/20 > 21/25 <<<< answer
But I hate to have predicted that before hand.
Change 3 to 6 and 2 to 4
Now Do
3/6 + 5/6 = ?
? = 8/6
8/6 = 1 2/6
1 2/6 = 1 1/3
Answer:
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