Question #6447741Fill in the Blank
Algebra-1
Question
Simplify the expression . The simplified form is ______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to apply the Power of a Power Rule to a more complex expression involving a larger coefficient and a different exponent. The problem requires the student to correctly handle both the coefficient and the variable part.
This question tests the student's ability to apply the Power of a Power Rule to a more complex expression involving a larger coefficient and a different exponent. The problem requires the student to correctly handle both the coefficient and the variable part.
Key Concept Explanation
The Power of a Power Rule states that raising a power to another power multiplies the exponents: . In this case, the coefficient 2 is also raised to the power of 7, resulting in 128.
The Power of a Power Rule states that raising a power to another power multiplies the exponents: . In this case, the coefficient 2 is also raised to the power of 7, resulting in 128.
Step-by-step Solution
1. Apply the Power of a Power Rule to the variable part:
2. Multiply the exponents for the variable:
1. Apply the Power of a Power Rule to the variable part:
2. Multiply the exponents for the variable:
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