Q. Fully simplify using only positive exponents.3xy415x4y2Answer:
Divide Coefficients: Divide the coefficients.Divide the numerical coefficients 15 by 3.15÷3=5
Simplify x Terms: Simplify the x terms.Divide x4 by x to simplify the x terms using the property xa/xb=x(a−b).x4÷x=x(4−1)=x3
Simplify y Terms: Simplify the y terms.Divide y2 by y4 to simplify the y terms using the property ya/yb=ya−b.y2÷y4=y2−4=y−2Since we want only positive exponents, we can write y−2 as 1/y2.
Combine Results: Combine the results.Combine the results from steps 1, 2, and 3 to get the final simplified expression.5×x3×(y21)
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