Neha needs to stretch some sticks to 252 times of their original leng

1.	Neha needs to stretch some sticks to 252 times of their original lengths, but her (x 25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (x 252) machine. To get started, think about the hook-up you could use to replace the (x 25) machine.
Answer» Let W₁ be the work done by first machine. Let W₂ be the work done by second machine. Work done by both the machines is W_t = W₁xW₂ W_t = 25² = 625 625 = 5x5x5x5 = 5²x5² W₁xW₂ = 5²x5² W₁ = W₂ = 5² Therefore, Neha can use a hook-up of two (x5²) machines.

Neha needs to stretch some sticks to 252 times of their original lengths, but her (x 25) machine is broken. Find a hook-up of two repeater machines that will do the same work as a (x 252) machine. To get started, think about the hook-up you could use to replace the (x 25) machine.

Answer»

Let W₁ be the work done by first machine.

Let W₂ be the work done by second machine.

Work done by both the machines is W_t = W₁xW₂

W_t = 25² = 625

625 = 5x5x5x5 = 5²x5²

W₁xW₂ = 5²x5²

W₁ = W₂ = 5²

Therefore, Neha can use a hook-up of two (x5²) machines.