Q. Simplify. Express your answer using positive exponents. 3w86w7
Identify Coefficients and Powers: Identify the coefficients and the powers of w in the expression.We have the coefficient 6 in the numerator and 3 in the denominator. We also have w raised to the power of 7 in the numerator and w raised to the power of 8 in the denominator.
Simplify Coefficients: Simplify the coefficients by dividing 6 by 3. 6 divided by 3 equals 2.
Apply Quotient Rule: Apply the quotient rule for exponents to simplify w7/w8. The quotient rule states that when dividing like bases, you subtract the exponents. w7/w8=w7−8=w−1.
Rewrite Negative Exponent: Since we want to express the answer using positive exponents, we rewrite w−1 as w11 or simply w1.
Combine Results: Combine the results from Step 2 and Step 4 to write the final simplified expression.The final answer is 2×(w1) or simply w2.
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