Calculate power of negative decimal number

Hello

I am new in this forum (Happy)

I try to calculate

{-10}^{ 2.6}

using the calculator I get an error

but i write that way

{-10}^{ 2.6} = {-10}^{ 2+ 6/10} = {-10}^{ 2+ 3/5} = {-10}^{2 } * {-10}^{3/5 }

= 100 * {{-10}^{ 3} }^{1/ 5} = 100*{-1000}^{ 1/5} \approx -398.107

i don't know if it's correct

so for {-10}^{ 2.8} i get 630.957344480193

Thanks in advance

calculate power of negative decimal number

Hi shayw,

I assume you mean the power of a negative integer. You can simplify calculations by factoring the negative integer

-10^2.8 =(-1)^2.8 * 10^2.8

10^2.8 = 630.957

(-1)^2.8 =(-1)^2 *(-1)^.8=1*1 answer is positive

If the original problem was(-10)^2.7

(-10)^2.7 =(-1)^2.7 * 10^2.7

= (-1)^2 *(-1)^.5 * (-1)^.2 * 10^2.7

= 1*-1*1=-1

answer will be negative

bjh