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10) $-4x^{6}y^{5} cdot -4x^{0}y^{-2}$

Question

  1. $-4x^{6}y^{5} cdot -4x^{0}y^{-2}$

Explanation:

Step1: Multiply the coefficients

$(-4) \times (-4) = 16$

Step2: Simplify $x$-terms (use $x^a \cdot x^b=x^{a+b}$)

$x^6 \cdot x^0 = x^{6+0} = x^6$

Step3: Simplify $y$-terms (use $y^a \cdot y^b=y^{a+b}$)

$y^5 \cdot y^{-2} = y^{5+(-2)} = y^3$

Step4: Combine all simplified parts

$16 \times x^6 \times y^3$

Answer:

$16x^6y^3$