What number multiplied by itself 5 times is -243?

Answer 1

248

Answer 2

To find the number that, when multiplied by itself five times, equals -243, you need to find the fifth root of -243. The fifth root of -243 is -3, because (-3) * (-3) * (-3) * (-3) * (-3) = -243. Therefore, the number you are looking for is -3.

Answer 3

Well, isn't that an interesting math puzzle we have here! To find the number that, when multiplied by itself 5 times, equals -243, we need to remember that a negative number times a negative number gives a positive result. So, the number you're looking for is -3, because -3 multiplied by itself 5 times gives you -243. Happy little math moments!

Answer 4

A number, x, multiplied by itself once is x^2, not x.

The number, x, multiplied by itself twice is then x^3.

The number, x, multiplied by itself three times is then x^4.

So that the number, x, multiplied by itself five times is x^6, not x^5.

Thus x is the 6th root of -243 and you can use de Moivre's formula to find this complex root.

The six roots are the complex numbers:

2.4980*[sqrt(3)/2 + i/2]

2.4980*[i]

2.4980*[-sqrt(3)/2 + i/2]

2.4980*[-sqrt(3)/2 - i/2]

2.4980*[- i/2]

2.4980*[sqrt(3)/2 - i/2].

Answer 5

Well, buttercup, the number you're looking for is -3. If you multiply -3 by itself 5 times (which is -3 x -3 x -3 x -3 x -3), you'll end up with -243. So, there you have it, math whiz!

Answer 6

It is: -3 because -3^5 = -243