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Calculate the value of "A" given the expression
Published on October 21, 2024
Algebra
The expression 2^(n+4) - 2(2^n) / 2(2^(n+3)) simplifies to 7/8.
Question
Answer
Let’s break down this problem step-by-step.
We want to simplify the expression:
Step 1: Factor out common factors
Notice that both terms in the numerator have a common factor of
Step 2: Simplify the expression inside the parentheses
Simplify
Step 3: Cancel out common factors
We can cancel out a
We can also simplify the powers of 2:
Step 4: Simplify the exponent
Simplify the exponent in the denominator:
Step 5: Calculate the final result
Calculate