Question

Please help me ill mark as brainliest and its worth 50

Answer 1

Answer:

Option C

Step-by-step explanation:

$\sf \dfrac{54 {a}^{8} {b}^{2} }{6 {a}^{ - 4} {b}^{5} }$

We know that

$\sf \: \frac{ {a}^{m} }{a {}^{n} } = a {}^{m - n}$

$\sf 9 \dfrac{a {}^{8} {b}^{2} }{ {a}^{ - 4} {b}^{5} }$

$\sf \: 9 \dfrac{ {a}^{8 - ( - 4)} b {}^{(2 - 5)} }{1}$

$\sf \: 9 \dfrac{ {a}^{12}b {}^{ - 3} }{1}$

$\sf \: \dfrac{9 {a}^{12} }{ {b}^{3} }$

Answer 2

Answer:

C    $\dfrac{9a^{12}}{b^3}$

Step-by-step explanation:

54/6 = 9

a^8 / a^-4 = a^{8 - (-4)} = a^12

b^2 / b^5 = b^-3 = 1/b^3

Answer:  C    $\dfrac{9a^{12}}{b^3}$