Find the cube root of –125: −125−−−−√3 .(1 point)
The cube root of -125 is -5.
To find the cube root of -125, we can use the formula:
(-a)^(1/n) = -1 * (a^(1/n))
In this case, a = 125 and n = 3. Let's plug in the values:
(-125)^(1/3) = -1 * (125^(1/3))
Now, let's calculate the cube root of 125:
125^(1/3) = 5
So, we have:
(-125)^(1/3) = -1 * 5
Therefore, the cube root of -125 is -5.
To find the cube root of -125, you can use the formula:
Cube root of a number x = x^(1/3)
In this case, the number is -125. Therefore:
Cube root of -125 = (-125)^(1/3)
First, let's simplify the exponent (1/3):
1/3 is the same as 0.3333... (repeating).
Now, we can evaluate (-125)^(0.3333...):
Using a scientific calculator or a calculator with a cube root function, you need to raise -125 to the power of 0.3333...:
(-125)^(0.3333...) = -5
So, the cube root of -125 is -5.