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Look at this equation:\newlinez3=125z^3 = 125\newlineWhat is zz, the cube root of 125125?\newlinez=z = ____

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Full solution

Q. Look at this equation:\newlinez3=125z^3 = 125\newlineWhat is zz, the cube root of 125125?\newlinez=z = ____
  1. Express as Cube: Step 11: Express 125125 as a cube of a number.\newline125125 can be written as 5×5×55 \times 5 \times 5, which is 535^3.
  2. Apply Cube Root: Step 22: Apply the cube root to both sides of the equation z3=125z^3 = 125. Since 125=53125 = 5^3, then z3=53z^3 = 5^3. Taking the cube root of both sides, z=cube root of (53)z = \text{cube root of } (5^3).
  3. Simplify Cube Root: Step 33: Simplify the cube root.\newlineThe cube root of 535^3 is 55, because the cube and cube root cancel each other out.\newlineSo, z=5z = 5.

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