Question

Find the monominal if the expression is the cube of that monominal -0.001a^3a 3

Options:
a) −0.001a ²
b) −0.001a
c) 0.001a ³
d) −0.001

Answer 1

The monomial that when cubed gives -0.001a^3 is -0.1a, obtained by taking the cube root of the numerical coefficient and dividing the exponent by 3.

Step-by-step explanation:

To find the monomial that, when cubed, gives the expression -0.001a^3, we simply need to find the cube root of that expression.

When we cube a monomial, we cube the coefficient (the numerical part) and multiply the exponent of the variable by 3. Therefore, to find the original monomial, we do the opposite: we take the cube root of the coefficient and divide the exponent by 3.

The cube root of -0.001 is -0.1, and dividing the exponent 3 by 3, we get 1. Thus, the monomial is -0.1a (which is not listed in the options provided, which suggests there might be a typo in the question or the options).