Question

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

Answer 1

Answer:  - 2 b

Step-by-step explanation:

Here the given expression,

$\frac{12xayb}{-6xay}$

= $\frac{12\times x\times a\times y\times b\times x^{-1}\times a^{-1}\times y^{-1}}{-6}$           $( \frac{1}{a^x} = a^{-x} )$

= $-2 x^{1-1}\times a^{1-1}\times y^{1-1}\times b$

$(a^m\times a^n = a^{m+n})$

= $-2\times x^{0}\times a^{0}\times y^{0}\times b$

= $-2 \times b$             $( a^0 = 1 )$

= $- 2b$

Answer 2

Answer:

-2b is the answer.

Step-by-step 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.