Question

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

Answer 1

3m²n⁵

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.

Answer 2

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) } = (36)/(12) * \frac{ {m}^(5) }{ {m}^(3)} * {n}^(5)`



`\frac{36 {m}^(5) {n}^(5) }{12 {m}^(3) } = 3* \frac{ {m}^(5) }{ {m}^(3)} * {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 * {m}^(5 - 3) * {n}^(5)`



`\frac{36 {m}^(5) {n}^(5) }{12 {m}^(3) } = 3 {m}^(2) {n}^(5)`