Answer:
Step-by-step explanation:
Given:
The expression is given as:
The equivalent expression to the above expression is given as:
Now, simplifying the original expression using the law of indices:
So, . The expression becomes:
Now, is a common factor to both the terms, so we factor it out. This gives,
Now, on comparing the simplified form with the equivalent expression, we conclude:
Therefore, the value of 'A' is
Answer:
A.
a= V^1/3 = 12167^1/3 = 23cm
The height = 23cm
B. Area of one face of the cube = =
= 3174
Step-by-step explanation:
A. To find the height of the cube, I used the cube root of the given volume, since the volume of a cube is equal to the cube root of its length/height
B. To find the area of one side of the cube, I sustitute S for the side length/height of the cube, which is 23cm. Then I multiplying the length of the cube's side by its width to find its area, since the length and width of a cube's side is the same.