Question

Find the right quotient. 36m 5 n 5 ÷ (12m 3)

Answer 1

ANSWER

The right quotient is

$3 {m}^{2} {n}^{5}$

EXPLANATION


The given expression is :

$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} }$



$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = \frac{36}{12} \times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$


$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3\times \frac{ {m}^{5} }{ {m}^{3}} \times {n}^{5}$


Recall that,


$\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$
We apply this property to obtain;



$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 \times {m}^{5 - 3} \times {n}^{5}$


$\frac{36 {m}^{5} {n}^{5} }{12 {m}^{3} } = 3 {m}^{2} {n}^{5}$

Answer 2

Answer:

3m²n⁵

Step-by-step explanation:

We have given an expression.

36m⁵n⁵ / 12m³

We have to simplify given expression.

We use following formula to solve given expression.

x⁻ᵃ= 1 / xᵃ                 (formula 1)  

xᵃ×xᵇ = xᵃ⁺ᵇ              (formula 2)

12×3×m⁵×n⁵ / 12 × m³

Using (formula 1) to solve this expression,we get

3×m⁵×n⁵×m⁻³

Using (formula 2) to solve this expression,we get

3m⁵⁻³×n⁵

3m²×n⁵

3m²n⁵ is the answer.