(6.3 * 10^2)^-6
1/(6.3 * 10^2)^6
(divide and the sign flips to a positive value)
On the calculator I get 1.59 * 10^-17
I have no idea how though it is correct
To solve the expression (6.3 * 10^2)^-6, we need to follow the rules of exponentiation.
Step 1: Simplify the base expression.
The base expression is 6.3 * 10^2. To simplify it, we multiply 6.3 by 10 raised to the power of 2. This results in 630.
Step 2: Calculate the inverse.
To find the inverse, we need to take the reciprocal of the base expression. The reciprocal of 630 is 1/630.
Step 3: Raise to the power of -6.
To raise the base expression to the power of -6, we multiply the reciprocal by itself 6 times. Mathematically, it can be represented as (1/630)^6.
Step 4: Evaluate the expression.
Now we can calculate the value using a calculator or by long multiplication. Performing the operation, we get approximately 1.59 * 10^-17.
Therefore, the answer to the expression (6.3 * 10^2)^-6 is approximately 1.59 * 10^-17.