Question 162

Neha needs to stretch some sticks to $25^{2}$ times of their original lengths, but her $(\times 25)$ machine is broken. find a hook-up of two repeater machines that will do the same work as a $(\times 25^{2})$ machine. To get started, think about the hook-up you could use to replace the $(\times 25)$ machine.

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Solution

Work done by single mahine $(\times 25^{2}) = 25 \times 25 = 625 o r 5 \times 5 \times 5 \times 5 o r 5^{2} \times 5^{2}$ Hence, $(\times 5^{2}) a n d (\times 5^{2})$ hook - up machine can replace the $(\times 25)$ machine.

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Question 162 Neha needs to stretch some sticks to 252 times of their original lengths, but her (×25) machine is broken. find a hook-up of two repeater machines that will do the same work as a (×252) machine. To get started, think about the hook-up you could use to replace the (×25) machine.

Work done by single mahine (×252)=25×25=625 or 5×5×5×5 or 52×52 Hence, (×52) and (×52) hook - up machine can replace the (×25) machine.

Work done by single mahine $(\times 25^{2}) = 25 \times 25 = 625 o r 5 \times 5 \times 5 \times 5 o r 5^{2} \times 5^{2}$ Hence, $(\times 5^{2}) a n d (\times 5^{2})$ hook - up machine can replace the $(\times 25)$ machine.