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Simplify Algebraic Expression with Negative Exponents
Published on October 16, 2025
Algebra
Simplify the expression (4y^-2x)^-3 (6y^-8x^3) by applying exponent rules and expressing the final answer with positive exponents.
Question
That is the whole parentheses is -3rd power not X to the -3rd power also express everything in the end as a positive ones
Answer the bold
Answer
Let’s solve the first problem. The problem is to simplify and express the answer with positive exponents.
The expression is:
Step 1: Apply the power rule
For the first term:
For the second term:
For the first term:
For the second term:
Step 2: Apply the power rule
For the first term:
For the second term:
For the first term:
For the second term:
Step 3: Multiply the simplified terms.
Step 4: Group the coefficients and variables with the same base.
Step 5: Apply the product rule
For the coefficients:
For the y terms:
For the x terms:
For the coefficients:
For the y terms:
For the x terms:
Step 6: Simplify the numerical coefficient.
Divide both numerator and denominator by their greatest common divisor.
So,
Divide both numerator and denominator by their greatest common divisor.
So,
Step 7: Simplify
Step 8: Combine all simplified parts.
Step 9: Express the answer with positive exponents.
Use the rule
Use the rule
The final answer is