Q. Simplify. Express your answer using positive exponents.10w10w8
Simplify Coefficients: Simplify the coefficients (numerical parts) of the expression.We have the same number 10 in the numerator and the denominator, so they can be divided out.10w8/10w=(10/10)⋅(w8/w)=1⋅(w8/w)Since 10 divided by 10 is 1, there is no math error here.
Apply Quotient Rule: Apply the quotient rule for exponents to simplify the variable part of the expression.The quotient rule states that when we divide powers with the same base, we subtract the exponents.w8/w=w(8−1)=w7Since we are subtracting 1 from 8, there is no math error here.
Combine Results: Combine the results from Step 1 and Step 2 to write the final simplified expression.1×w7=w7This is the simplified expression using positive exponents.
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