Question

Using only multiplication, find the least number of
multiplication required to calculate x^31, for the given
real number x.​

Answer 1

Answer:

Eight times

Step-by-step explanation:

$1. {x}^{2} \\ 2. {x}^{4} \\ 3. {x}^{8} \\ 4. {x}^{16} \\ 5. {x}^{24} \\ 6. {x}^{28} \\ 7. {x}^{30} \\ 8. {x}^{31}$

Answer 2

Seven times

$x$

$x^3$

$x^2$

$x^5$

$x^1_0$

$x^2_0$

$x^3_1$

$x^3_0$

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