sqrt to the power of 3 (16e^12)
To calculate the expression sqrt(16e^12) raised to the power of 3, you need to follow these steps:
Step 1: Calculate the square root of the given expression.
To find the square root of 16e^12, you can simply take the square root of 16 and multiply it by the square root of e^12.
Square root of 16 = 4
Square root of e^12 = e^(12/2) = e^6
So, sqrt(16e^12) = 4e^6
Step 2: Raise the result to the power of 3.
To do this, simply multiply the expression by itself three times.
(4e^6)^3 = (4e^6) * (4e^6) * (4e^6)
Now, let's simplify this expression:
(4 * 4 * 4) * (e^6 * e^6 * e^6)
4 * 4 * 4 = 64
e^6 * e^6 * e^6 = e^(6+6+6) = e^18
Putting it all together, (4e^6)^3 = 64e^18.