The ceiling in jan's living room is 2.5 m high. she has a hanging lamp that hangs down 41 cm. her husbnd is 2 m tall. will he hit his head on the hanging lamp?

No, his head will not hit the lamp.

Step-by-step explanation:

The height of ceiling in Jan's living room = 2.5 m

Height of the hanging lamp from the ceiling = 41 cm

                                                                         ≈ 0.41 meter

So distance between lamp and the ground = 2.5 - 0.41

                                                                        = 2.09 meter

If a person having height greater than 2.09 meter, will touch the lower edge of the lamp.

Since Jan's husband is 2(meter), tall lamp will not touch his head.

use the power rule  

( a b ) n = a n b n

to distribute the exponent.

apply the product rule to  

3 x 2 y 3 . ( 3 x 2 ) 2 ( y 3 ) 2

apply the product rule to  

3 x 2 . 3 2 ( x 2 ) 2 ( y 3 ) 2

raise  

3

to the power of  

2 . 9 ( x 2 ) 2 ( y 3 ) 2 multiply the exponents in   ( x 2 ) 2

.

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 2 ⋅ 2 ( y 3 ) 2

multiply  

2   by   2 . 9 x 4 ( y 3 ) 2

multiply the exponents in  

( y 3 ) 2 .

apply the power rule and multiply exponents,  

( a m ) n = a m n . 9 x 4 y 3

⋅

2

multiply  

3   by   2 . 9 x 4 y 6

step-by-step explanation: