Compare the following quantities and choose the correct relationship code: Quantity I: 360 m 7 n 9 120 m − 2 n 3 × 24 m − 4 n 4 , m > 0 , n < 0 ...

Banking IBPS PO Mains Medium Simplification MCQ

Question

Compare the following quantities and choose the correct relationship code:

Quantity I:

\frac{360 m^{7} n^{9}}{120 m^{-2} n^{3}} \times 24 m^{-4} n^{4}, \quad m > 0, n < 0

Quantity II:

\frac{240 x^{9} y^{7}}{60 x^{4} y^{3}} \div 3 x^{-2} y^{3}, \quad x < 0, y < 0

Quantity III:

\frac{48 a^{8} b^{12} \times 5 a^{3} b^{-4}}{6 a^{6} b}, \quad a > 0, b < 0

Use the following codes to express the relationships between Quantity I and Quantity II, and Quantity II and Quantity III respectively:

Select the correct option based on the relationships.

(@, &)

(#, @)

($, @)

(&, @)

exponentspowersalgebracomparisonsimplification