# Shikha has an order from a golf course designer to put palm trees through a ( × 23) machine and then through a ( × 33) machine. She thinks she can do the job with a single repeater machine. What single repeater machine should she use?

Let W1 be the work done by (x23)machine.

Let W2 be the work done by (x33) machine.

Work done by both the machines is Wt = W1xW2

Wt = 23x33

Wt = 2x2x2x3x3x3 = 8x27 = 216

If a single repeater has to be used, then the machine is of the form (x Am) where A and m are both natural numbers.

216 = 6x6x6 = 63

A = 6, m = 3.

Therefore, Shikha should use a (x63) single repeater machine.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Genius Quiz | Powers and Exponents27 mins
Quiz | Mastering Powers and Exponents45 mins
Smart Revision | Learning the Laws on Exponents50 mins
NCERT | Laws of Exponents25 mins
QUIZ | Exponents and Power35 mins
Smart Revision | Standard Form of Exponents50 mins
Quiz | Powers and Exponennts43 mins
Champ Quiz | Power and Exponents31 mins
Master Exponents & Power37 mins
Advance Problems in Exponents & Power40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses