Question

1. fully simplify: $-6x^{5}y^{8}(11x^{9})$
2. fully simplify: $(-4x^{2}y^{3})^{4}$

Explanation:

Step1: Multiply coefficients (Q8)

$-6 \times 11 = -66$

Step2: Combine $x$ terms (Q8)

$x^5 \times x^8 = x^{5+8} = x^{13}$

Step3: Finalize Q8 expression

$-66x^{13}y^6$

Step4: Raise coefficient to power (Q9)

$(-4)^4 = 256$

Step5: Raise $x$ term to power (Q9)

$(x^2)^4 = x^{2 \times 4} = x^8$

Step6: Raise $y$ term to power (Q9)

$(y^3)^4 = y^{3 \times 4} = y^{12}$

Step7: Finalize Q9 expression

$256x^8y^{12}$

Answer:

1. $-66x^{13}y^6$
2. $256x^8y^{12}$