The expression has the same meaning as n36 is n^18 . Therefore, n^18 is correct .
The expression that has the same meaning as √n^36 is n^18.
This can be seen using the following steps:
Start with the original expression: √n^36
Rewrite the exponent using the distributive property of exponents: √n^36 = (n^18)^(1/2)
Take the square root of both sides: sqrt(n^18)^(1/2) = n^18
Therefore, n^18 has the same meaning as √n^36.
We can use the following steps to simplify the expression:
Factor out the perfect square:
√n^36 = √(n^6)^6
Apply the radical property:
√(n^6)^6 = n^6
Simplify the exponent:
n^6 = n^(18/3) = n^18
Therefore, n^18 has the same meaning as √n^36