Solve the following equation:
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Solve the following equation:
To solve this problem, let’s follow the outlined steps:
Now, let's work through each step:
Step 1: The direct multiplication of 10 by 10 yields because .
Step 2: We can express this calculation using the rules of exponents. Since both numbers are 10 and multiplied together: .
Step 3: We consider the following expressions given in the multiple-choice answers:
- Choice 1: equals .
- Choice 2: equals 100.
- Choice 3: 100 is the result of the direct multiplication.
Each choice is consistent with the others through these steps. Thus, all the provided expressions—, , and 100—accurately represent the resolved equation .
Therefore, the solution to the problem is All answers are correct.
All answers are correct
\( (3\times4\times5)^4= \)
All three expressions represent the same mathematical value: . They're just written in different forms - exponential notation vs. decimal form!
shows the exponent rule in action: when multiplying same bases, add the exponents. Since , we get .
Use exponent form when you're multiplying the same number multiple times. It's especially helpful with powers of 10, like or .
Yes! means 10 squared or 10 × 10, which always equals 100. This is a fundamental fact you should memorize.
If forced to choose one, pick the simplest form (usually the number 100). But mathematically, all equivalent expressions are correct answers!
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