Question

Rewrite this measurement with a simpler unit, if possible. 6.5 g⋅cm 2

g ⋅
cm 3
​
Note: If you can simplify the unit at all, it may be possible to make more than one simplification. Be sure your final answer uses the simplest possible unit.

Answer 1

Explanation:

To simplify the unit 6.5 g⋅cm^2/g⋅cm^3, we can cancel out the common units and simplify the expression.

The unit g⋅cm^2 represents a measure of area, and the unit g⋅cm^3 represents a measure of volume. To simplify, we can divide the unit of area (g⋅cm^2) by the unit of volume (g⋅cm^3), which gives us a resulting unit of length.

6.5 g⋅cm^2 / g⋅cm^3 = 6.5 cm^2 / cm^3

Dividing cm^2 by cm^3 is equivalent to dividing the numerator by the denominator and subtracting the exponents:

6.5 cm^(2-3) = 6.5 cm^(-1)

Since the exponent is -1, we can rewrite cm^(-1) as 1/cm:

6.5 cm^(-1) = 6.5 / cm

Therefore, the simplified unit for 6.5 g⋅cm^2/g⋅cm^3 is 6.5/cm.

I hope this is right!!