Question

Find the right quotient. 12x a y b ÷ (-6x a y)

Answer 1

-2b is the answer.

Explanation:

Given expression is

12xayb / (-6xay)

We have to simplify above expression.

We use two formulas to simplify above expression.

`1/x^(m)=x^(-m)` (formula 1)

`x^(m)`×
`x^(n)`=
`x^(m+n)`

using (formula 1) in given epression, we get

2×6 × x × a × y × b × x⁻¹ × a⁻¹ × y⁻¹ / (-6)

using (formula 2) in given expression,we get

-2 x⁽¹⁻¹⁾ × b × a ⁽¹⁻¹⁾ × y⁽¹⁻¹⁾ ∵x⁰ = 1

-2×1×b×1×1

-2b is the answer.

Answer 2

Answer: - 2 b

Explanation:

Here the given expression,

`(12xayb)/(-6xay)`

=
`(12* x* a* y* b* x^(-1)* a^(-1)* y^(-1))/(-6)`
`( (1)/(a^x) = a^(-x) )`

=
`-2 x^(1-1)* a^(1-1)* y^(1-1)* b`

`(a^m* a^n = a^(m+n))`

=
`-2* x^(0)* a^(0)* y^(0)* b`

=
`-2 * b`
`( a^0 = 1 )`

=
`- 2b`