%5E4-without-exponents.jpeg "(n^2)^4 Without Exponents")
Understanding (n^2)^4 without Exponents
The expression (n^2)^4 may look complicated, but it can be simplified and understood without using exponents. Let's break it down step by step.
What does (n^2)^4 mean?
- n^2 means "n multiplied by itself" (n * n)
- (n^2)^4 means "n^2 multiplied by itself four times" ((n^2) * (n^2) * (n^2) * (n^2))
Expanding the expression
To eliminate the exponents, we can expand the expression:
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First, expand (n^2) * (n^2): (n * n) * (n * n) = n * n * n * n
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Now we have (n * n * n * n) * (n^2) * (n^2): Expanding further, we get: n * n * n * n * n * n * n * n
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Therefore, (n^2)^4 is equivalent to n multiplied by itself eight times.
Expressing the result without exponents
We can write this without exponents as:
n * n * n * n * n * n * n * n
Conclusion
By understanding the meaning of exponents and expanding the expression, we have successfully expressed (n^2)^4 without using exponents. This process helps to visualize the multiplication involved and grasp the concept in a simpler way.