%5E2-without-exponents.jpeg "(n^3)^2 Without Exponents")
Understanding (n^3)^2 without Exponents
The expression (n^3)^2 might seem intimidating at first, but it's actually quite straightforward once you understand the rules of exponents.
Breaking Down the Expression
- n^3: This means n multiplied by itself three times: n * n * n.
- (n^3)^2: This means taking the entire result of n^3 and multiplying it by itself twice: (n * n * n) * (n * n * n).
Simplifying with the Power of a Power Rule
The key to simplifying this expression lies in the power of a power rule. This rule states that when raising a power to another power, you multiply the exponents.
In our case, we have (n^3)^2. Applying the power of a power rule:
(n^3)^2 = n^(3 * 2) = n^6
Expressing without Exponents
Finally, we can express n^6 without exponents by writing:
n^6 = n * n * n * n * n * n
Therefore, (n^3)^2 is equivalent to n multiplied by itself six times.