Answer :

Answer:  - 2 b

Step-by-step explanation:

Here the given expression,

[tex]\frac{12xayb}{-6xay}[/tex]

= [tex]\frac{12\times x\times a\times y\times b\times x^{-1}\times a^{-1}\times y^{-1}}{-6}[/tex]           [tex]( \frac{1}{a^x} = a^{-x} )[/tex]

= [tex]-2 x^{1-1}\times a^{1-1}\times y^{1-1}\times b[/tex]

[tex](a^m\times a^n = a^{m+n})[/tex]

= [tex]-2\times x^{0}\times a^{0}\times y^{0}\times b[/tex]

= [tex]-2 \times b[/tex]             [tex]( a^0 = 1 )[/tex]

= [tex]- 2b[/tex]

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.

[tex]1/x^{m}=x^{-m}[/tex]     (formula 1)

[tex]x^{m}[/tex]×[tex]x^{n}[/tex]=[tex]x^{m+n}[/tex]

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.

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