Question

(6a^6)^2:(6a^13) при a =12

Answer 1

(6a^6)^2/(6a^13)=36a^12/6a^13=6/a=6/12=1/2

Answer 2

To simplify the expression (6a^6)^2 / (6a^13) and evaluate it for a = 12, follow these steps:

Step 1: Simplify the expression (6a^6)^2 / (6a^13) (6a^6)^2 means you raise 6a^6 to the power of 2, which is the same as multiplying 6a^6 by itself.

(6a^6)^2 = 36a^(6*2) = 36a^12

So the expression becomes: (6a^6)^2 / (6a^13) = 36a^12 / (6a^13)

Step 2: Cancel out common factors from the numerator and denominator In this case, 6 is a common factor in both the numerator and the denominator, so we can simplify further:

36a^12 / (6a^13) = (36/6) * (a^12 / a^13) = 6 * (a^12 / a^13)

Step 3: Simplify the exponent expression When dividing with the same base, you subtract the exponents. In this case, a^12 / a^13 can be simplified as follows:

a^12 / a^13 = a^(12-13) = a^(-1)

Step 4: Evaluate the expression for a = 12 Now, substitute a = 12 into the simplified expression:

6 * (a^(-1)) = 6 * (12^(-1)) = 6 * (1/12) = 1/2

So, the simplified expression (6a^6)^2 / (6a^13) evaluates to 1/2 when a = 12.