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The problem is to find a number x such that x x x x x = 8. This can be written as x³ = 8.

Mathematics

ScanSolve AI Answer

Answers

6 parts
a
2
b
1
c
4
d
3
e
5
f
6

Step-by-step solution

18 steps

Here are the solutions for each part:

Part a· 3 steps

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=8x \times x \times x = 8.

    This can be written as x3=8x^3 = 8.

  2. To find xx, we take the cube root of 8.

    x=83x = \sqrt[3]{8}
  3. Calculate the cube root.

    x=2x = 2

    The number in the placeholder is 2\boxed{2}.

Part b1

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=1x \times x \times x = 1.

    This can be written as x3=1x^3 = 1.

  2. To find xx, we take the cube root of 1.

    x=13x = \sqrt[3]{1}
  3. Calculate the cube root.

    x=1x = 1

    The number in the placeholder is 1\boxed{1}.

Part c4

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=64x \times x \times x = 64.

    This can be written as x3=64x^3 = 64.

  2. To find xx, we take the cube root of 64.

    x=643x = \sqrt[3]{64}
  3. Calculate the cube root.

    x=4x = 4

    The number in the placeholder is 4\boxed{4}.

Part d3

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=27x \times x \times x = 27.

    This can be written as x3=27x^3 = 27.

  2. To find xx, we take the cube root of 27.

    x=273x = \sqrt[3]{27}
  3. Calculate the cube root.

    x=3x = 3

    The number in the placeholder is 3\boxed{3}.

Part e5

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=125x \times x \times x = 125.

    This can be written as x3=125x^3 = 125.

  2. To find xx, we take the cube root of 125.

    x=1253x = \sqrt[3]{125}
  3. Calculate the cube root.

    x=5x = 5

    The number in the placeholder is 5\boxed{5}.

Part f6

Calculate the value of the number in the placeholder

  1. The problem is to find a number xx such that x×x×x=216x \times x \times x = 216.

    This can be written as x3=216x^3 = 216.

  2. To find xx, we take the cube root of 216.

    x=2163x = \sqrt[3]{216}
  3. Calculate the cube root.

    x=6x = 6

    The number in the placeholder is 6\boxed{6}.

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