The problem is to find a number x such that x x x x x = 8. This can be written as x^3 = 8.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions for each part:
*a) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 8$. This can be written as $x^3 = 8$.
Step 2: To find $x$, we take the cube root of 8.
$$x = \sqrt[3]{8}$$
Step 3: Calculate the cube root.
$$x = 2$$
The number in the placeholder is $\boxed{2}$.
*b) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 1$. This can be written as $x^3 = 1$.
Step 2: To find $x$, we take the cube root of 1.
$$x = \sqrt[3]{1}$$
Step 3: Calculate the cube root.
$$x = 1$$
The number in the placeholder is $\boxed{1}$.
*c) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 64$. This can be written as $x^3 = 64$.
Step 2: To find $x$, we take the cube root of 64.
$$x = \sqrt[3]{64}$$
Step 3: Calculate the cube root.
$$x = 4$$
The number in the placeholder is $\boxed{4}$.
*d) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 27$. This can be written as $x^3 = 27$.
Step 2: To find $x$, we take the cube root of 27.
$$x = \sqrt[3]{27}$$
Step 3: Calculate the cube root.
$$x = 3$$
The number in the placeholder is $\boxed{3}$.
*e) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 125$. This can be written as $x^3 = 125$.
Step 2: To find $x$, we take the cube root of 125.
$$x = \sqrt[3]{125}$$
Step 3: Calculate the cube root.
$$x = 5$$
The number in the placeholder is $\boxed{5}$.
*f) Calculate the value of the number in the placeholder:
Step 1: The problem is to find a number $x$ such that $x \times x \times x = 216$. This can be written as $x^3 = 216$.
Step 2: To find $x$, we take the cube root of 216.
$$x = \sqrt[3]{216}$$
Step 3: Calculate the cube root.
$$x = 6$$
The number in the placeholder is $\boxed{6}$.
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