Copyright © University of Cambridge. All rights reserved.
'Power Countdown' printed from http://nrich.maths.org/
In the game of Power Countdown, you use a set of numbers to make a
target number. The only operation you can use is raising something
to a power, but you are allowed to use fractional powers - you can
use a $3$ to raise a number to the power $3$ or $1\over3$.
Each number can only be used once.You don't have to use all the
Here is an example:
One way of making the target is:
Can you find any other ways of making $8$?
Are there any ways which use all the numbers?
Here is another selection.
How many ways are there to make the target number of $125$?
Below is a selection of numbers and five targets.
How many different ways can you find to make each target?
Are there any targets you can't make? How close can you get?