Respuesta :
Answer:
m=15
Step-by-step explanation:
cube root of 3375 =m
We need to solve the equation for m
[tex]\sqrt[3]{3375} = m[/tex]
In order to solve for m we need to find the cube root of 3375
3375 can be written as 3 times 3 times 3 times 5 times 5 times 5
[tex]\sqrt[3]{3375} = m[/tex]
[tex]\sqrt[3]{3 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5} = m[/tex]
For same three factors inside the cube root we pull out one factor outside the cube root
[tex]\sqrt[3]{3 \cdot 3 \cdot 3} = 3[/tex]
[tex]\sqrt[3]{3 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5} = m[/tex]
[tex]3 \cdot 5 = m[/tex]
m= 15
The value of the variable that makes the statement true is
m = 15
Cube Root Functions
The given equation is:
[tex]\sqrt[3]{3375} = m[/tex]
We are looking for a number that we can multiply by itself 3 times to get 3375
Note that the given equation can be re-written as:
[tex]m =3375^{\frac{1}{3}[/tex]
This can be further simplified as:
[tex]m=15^{3(\frac{1}{3} )}\\\\m=15[/tex]
Therefore, the value of the variable that makes the statement true is m = 15
Learn more on cube root functions here: https://brainly.com/question/8740413
