7A-1/B^-2

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If that is
(7A) -(1/B^-2), then

7A -(B^2)

To simplify the expression 7A - 1/B^(-2), we'll need to follow a few steps. Let's break it down:

Step 1: Simplify the negative exponent
Recall that a negative exponent indicates the reciprocal of the base raised to the positive exponent. In this case, B^(-2) is equivalent to 1/B^2.

Step 2: Substitute the value of A and B (if given)
If you have specific values for A and B, replace them into the expression. For this explanation, let's assume A = 3 and B = 2.

Step 3: Perform the necessary calculations
Now, let's substitute the values of A = 3 and B = 2 into the expression:
7A - 1/B^(-2) = 7(3) - 1/(2^2)

Step 4: Simplify further
Now, perform the calculations within parentheses and for the exponent:
7(3) - 1/(2^2) = 21 - 1/4

Step 5: Find a common denominator and combine fractions (if needed)
To combine the fractions, we need a common denominator. The common denominator for 1 and 4 is 4, so we rewrite 21 as 84/4:
21 - 1/4 = 84/4 - 1/4

Step 6: Combine the fractions
Now, we can combine the fractions with the same denominators:
84/4 - 1/4 = (84 - 1)/4 = 83/4

Therefore, the simplified expression for 7A - 1/B^(-2) when A = 3 and B = 2 is 83/4.