SOLUTION: The equation for the volume of a sphere is given to me but i have to find the radius and i dont know how to decompose radius to the 3rd power

Question 976268: The equation for the volume of a sphere is given to me but i have to find the radius and i dont know how to decompose radius to the 3rd power
Answer by josgarithmetic(39629) (Show Source): You can put this solution on YOUR website!
, and you want to solve for a formula for r.

You must already know about multiplicative inverse.

and Symmetric Property of Equality:

and you want to know what to do to undo the exponent of 3.

Are you familiar or know some rules or laws about exponents?
Think this way:

-
Starting with r^3, you want the number which must be raised to exponent 3 to give r^3, which is r.
.

which is .
.
More simply .

Can you conclude the next step or two in the formula, almost finished?

--
From here,

Take cubed root of both sides.

and with miner simplifying of the rational expression inside the cubed root,

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