Question

1. fully simplify. $11x^{2}y^{3}(16x^{2}y^{3})$
2. fully simplify. $-7y^{4}(5x^{3}y)$
3. fully simplify. $-12x^{5}y^{2}(10x^{3}y^{4})$

Explanation:

Step1: Multiply coefficients (Q25)

$11 \times 16 = 176$

Step2: Combine $x$-terms (Q25)

$x^2 \times x^2 = x^{2+2} = x^4$

Step3: Combine $y$-terms (Q25)

$y^3 \times y^3 = y^{3+3} = y^6$

Step4: Multiply coefficients (Q26)

$-7 \times 5 = -35$

Step5: Combine $x$-terms (Q26)

$x^3$ (no other $x$-term, remains as is)

Step6: Combine $y$-terms (Q26)

$y^4 \times y = y^{4+1} = y^5$

Step7: Multiply coefficients (Q27)

$-12 \times 10 = -120$

Step8: Combine $x$-terms (Q27)

$x^5 \times x^3 = x^{5+3} = x^8$

Step9: Combine $y$-terms (Q27)

$y^2 \times y^4 = y^{2+4} = y^6$

Answer:

1. $176x^4y^6$
2. $-35x^3y^5$
3. $-120x^8y^6$