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.
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Answer
3 and -3
Let's break these down.
a) To find the 4th roots of 81:
Step 1: We are looking for a number such that . Step 2: We know that . So, . Step 3: We also know that . So, . Step 4: Therefore, the 4th roots of 81 are 3 and -3.
The 4th roots of 81 are .
b) To find the cube root of 125:
Step 1: We are looking for a number such that . Step 2: We know that . So, . Step 3: Therefore, the cube root of 125 is 5.
The cube root of 125 is .
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a) To find the 4th roots of 81: Step 1: We are looking for a number x such that x^4 = 81.
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.