Hello!

I’m making a project that provides custom blocks that perform math operations not included with Scratch. So far, I have found methods of making factorials, nPr and nCr, and hyperbolic functions (sinh cosh and tanh). I would now like to find a rigorous method of performing exponents. I’m well aware that you can replace integer exponents with repeated multiplication (e.g. 2^3 = 2*2*2) and that negative exponents are the reciprocal of the the positive exponent (e.g. 2^-3 = 1/2^3), but I do not know a substitution for any real exponent using only Scratch blocks. Does anyone know a solution?

Thank you for answering my question. Have a great day!

For x^y try

It's not the most efficient but it's the only way I can think of.

You can use various exponential identities to create exponents. I already have it memorized though.

This calculates x ^ y.

Some others you might find helpful:

y-th root of x

log y (x)

The thing is, although works for positive real numbers, negatives mess it up. This is because the graph will seep into the c o m p l e x p l a n e.

-1 ^ 1.5
= sqrt(-1 ^ 3)
= sqrt(-1)
= i

Wow! Thank you so much! I wasn’t aware of this property of logarithms.

Have a good day!

indium13 wrote:

For x^y try

It's not the most efficient but it's the only way I can think of.

Woah! Think this might work. Personally I'd have used custom blocks (but in the same way), but this should work the same…