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Marianna [84]
3 years ago
8

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

Mathematics
2 answers:
Elena-2011 [213]3 years ago
7 0

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

Strike441 [17]3 years ago
6 0

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.

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