Question

Learning Task 1
Simplify by writing in exponential form
1. 2(2)(2)(2)(2)(2) 26
Write in expanded form
(2x)4 = (2x) (2x) (2x)(2x)
2. (За)(За)(За)(За)
(xy) =
3. (-4)(-4)(-4)(-4)(-4) =
(-ab)
Exponents have its own rule in performing mathematical operations.

(Sagot po please yung matino, wag paasa) ​

Answer 1

Let speed of stream be 's'

Let speed of boat in still water be 'b'

Speed of boat in still water = b = 5 km/h

Let time taken by the boat in going 40km downstream be t1 and time taken by the boat in going 40km upstream be t2.

Time = distance/speed

t1 = 40/(b+s)

t2 = 40/(b-s)

He takes thrice as much as time going in 40km upstream as going 40km downstream.

→t2 = 3t1

→40/(5-s) = 3(40/(5+s))

→1/(5-s) = 3[1/(5+s)]

→5+s = 3(5-s)

→5+s = 15-3s

→ s+3s = 15-5

→ 4s = 10

→ s = 10/4

→ s = 5/2