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3 years ago

14

Simplify: 4(3x^2y^4)^3 / 2x^3y^5)^4

2 answers:

never [62]3 years ago

7 0

54x^9y^17 ez ez ez ez ez ez

Semenov [28]3 years ago

6 0

Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) </span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span><span> ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 </span><span> Step 3 :</span><span> 33x6y12 Simplify ———————— 24x12y20 </span></span>Dividing exponential expressions :

<span> 3.1 </span> <span> x6</span> divided by <span>x12 = x(6 - 12) = x(-6) = 1/<span>x6</span></span>

Dividing exponential expressions :

<span> 3.2 </span> <span> y12</span> divided by <span>y20 = y(12 - 20) = y(-8) = 1/<span>y8</span></span>

<span>Equation at the end of step 3 :</span><span> 27 4 • —————— 16x6y8 </span><span>Step 4 :</span>Final result :<span> 27 ————— 4x6y<span>8</span></span>

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Phoenix [80]

Answer:

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Step-by-step explanation:

We want to write an exponential function that goes through the points (0, 20) and (6, 1280).

The standard exponential function is given by:

$y=ab^x$

The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:

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Simplify:

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So, our exponential function is now:

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Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:

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Step-by-step explanation:

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