Question

18m^2n^3/7pq*14p^2q/27m^3n^2

Answer 1

Пошаговое объяснение:

18m^2n^3/7pq*14p^2q/27m^3n^2=

= (18m^2n^3*14p^2q) : (7pq*27m^3n^2)=

=4np/3m

Answer 2

To simplify the expression, you can follow these steps:

Step 1: Combine like terms in the numerator and denominator. Step 2: Cancel out common factors. Step 3: Write the simplified expression.

Let's start:

Expression: (18m^2n^3 / 7pq) * (14p^2q / 27m^3n^2)

Step 1: Combine like terms in the numerator and denominator. Numerator: 18m^2n^3 * 14p^2q Denominator: 7pq * 27m^3n^2

Step 2: Cancel out common factors. In the numerator, we have m^2 and m^3, so we can cancel out one m from the numerator and one m from the denominator. Similarly, we have n^3 and n^2, so we can cancel out one n from the numerator and one n from the denominator. We also have p^2 and p, so we can cancel out one p from the numerator and one p from the denominator.

Numerator: 18 * 14 * m^(2-1) * n^(3-1) * p^(2-1) = 252m * n^2 * p Denominator: 7 * 27 * m^(3-1) * n^(2-1) * p^(1-1) = 189m^2 * n

Step 3: Write the simplified expression. Now, our simplified expression is:

Simplified Expression: (252m * n^2 * p) / (189m^2 * n)

To make it look a bit neater, we can cancel out m from the numerator and denominator:

Final Simplified Expression: (4n * p) / (3m)