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15. fully simplify. 16x^{2}y^{2}(-15x^{5}y^{5})

Question

  1. fully simplify. 16x^{2}y^{2}(-15x^{5}y^{5})

Explanation:

Step1: Multiply coefficients

$16\times(- 15)=-240$

Step2: Apply exponent - rule for like - bases

For $x$ terms: $x^{2}\times x^{5}=x^{2 + 5}=x^{7}$; for $y$ terms: $y^{2}\times y^{5}=y^{2+5}=y^{7}$

Step3: Combine results

$-240x^{7}y^{7}$

Answer:

$-240x^{7}y^{7}$