Question

FIND THE MONOMIAL IF THE EXPRESSION IS THE CUBE OF THAT MONOMIAL. -0.001a^3n+3

Answer 1

Answer:

x³ = (-1/10)a^(n + 1)

Step-by-step explanation:

x³ = -0.001a^(3n + 3)

x³ = (-1/10³)a^(3n + 3)

x³ = (-1/10³)a^[3(n + 1)]

x³ = [(-1/10)a^(n + 1)]^3

x³ = (-1/10)a^(n + 1)

Answer 2

The monomial is $y = -\frac{1}{10}\cdot a^{n+1}$.

According to the statement, we have the following expression, which is the cube of a monomial:

$x = -\frac{1}{1000}\cdot a^{3\cdot n + 3}$ (1)

The monomial is found by using a cubic root, that is:

$y = x^{1/3}$ (2)

Then, the monomial is:

$y = \left(-\frac{1}{1000}\cdot a^{3\cdot n +3}\right)^{1/3}$

$y = \left(-\frac{1}{1000} \right)^{1/3}\cdot \left(a^{3\cdot n +3}\right)^{1/3}$

$y = -\frac{1}{10}\cdot a^{n+1}$ (3)

The monomial is $y = -\frac{1}{10}\cdot a^{n+1}$.

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