A piece of iron rod costs $60. If the rod was 2 meter shorter and each meter cost $1 more, the cost will remain unchanged what is the length of the rod.

Let L denotes the length in meter of the given iron rod that costs Rs 60. So the cost per meter of this iron rod = 60/L.

It is given that If the rod was 2 meters shorter and each meter costs Rs. 1.00 more, the cost would remain unchanged. So we get the following equation,

(L - 2)*(60/L + 1) = 60 or L*(60/L) + L - 2*(60/L) - 2 = 60 or L - 120/L - 2 = 0

or L^2 - 2L - 120 = 0 or (L - 12)(L + 10) = 0

Hence, as because L>0 therefore we have L = 12 (meters)

Step-by-step explanation:

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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:

i'm not entirely sure

step-by-step explanation:

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