Question 9
The power button on your calculator is broken, and you need to calculate 2³⁷. A friend gives two rules:
- For an even exponent, calculate the half power and square it: 2¹⁰=2⁵×2⁵.
- For an odd exponent, subtract one from the exponent and multiply by the base: 2¹¹=2¹⁰×2.
How many multiplications are needed using these rules?
- For an even exponent, calculate the half power and square it: 2¹⁰=2⁵×2⁵.
- For an odd exponent, subtract one from the exponent and multiply by the base: 2¹¹=2¹⁰×2.
How many multiplications are needed using these rules?