%5E2-without-exponents.jpeg "(n^4)^2 Without Exponents")
Understanding (n^4)^2 without Exponents
The expression (n^4)^2 can seem intimidating at first glance, but it's actually quite simple to understand without using exponents.
Breaking it Down
- n^4 means multiplying "n" by itself four times: n * n * n * n
- (n^4)^2 means squaring the entire result of n^4, or multiplying it by itself: (n * n * n * n) * (n * n * n * n)
Simplifying the Expression
By combining the multiplications, we can rewrite the expression without exponents:
(n * n * n * n) * (n * n * n * n) = n * n * n * n * n * n * n * n
Final Result
Therefore, (n^4)^2 is equivalent to n multiplied by itself eight times. This can be represented as n⁸.
Key Point
While it's helpful to understand the concept without exponents, using exponents is a more concise and efficient way of representing repeated multiplication.