Question

What is the solution to x3 = 64

Answer 1

Answer:

  x = 4

Step-by-step explanation:

To undo a cube, take the cube root.

  x³ = 64

  ∛(x³) = ∛64

  x = 4

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Additional comment

An exponent signifies the number of times the base appears in the product.

  x³ = x·x·x . . . . . x is a factor 3 times in the product.

It can be helpful to memorize the cubes of small integers:

  1³ = 1; 2³ = 8; 3³ = 27; 4³ = 64; 5³ = 125; 6³ = 216; 7³ = 343; 8³ = 512;

  9³ = 729; 10³ = 1000