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alukav5142 [94]
3 years ago
5

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Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
6 0
Both B and E are correct
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8y=-7x+3

y=(-7x+3)/8

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A company is developing packaging for a new product as shown below.
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Simplify the following leaving your answer in positive index<br><br> 1) (x/y)^-4 x (y/x)^8
Basile [38]

Answer:

(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12

Step-by-step explanation:

Given

(\frac{x}{y})^{-4} * (\frac{y}{x})^8

Required

Determine the solution to this

(\frac{x}{y})^{-4} * (\frac{y}{x})^8

In law of incides:

\frac{a}{b} = \frac{b}{a}^{-1}

This implies that:

(\frac{x}{y})^{-4} * (\frac{y}{x})^8 is equivalent to:

(\frac{y}{x})^{-(-4)} * (\frac{y}{x})^8

(\frac{y}{x})^{4} * (\frac{y}{x})^8

Apply first law of indices:

(\frac{y}{x})^{4+8

(\frac{y}{x})^{12

Hence:

(\frac{x}{y})^{-4} * (\frac{y}{x})^8 = (\frac{y}{x})^{12

5 0
3 years ago
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