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Vedmedyk [2.9K]
3 years ago
6

Harry Potter is a wizard you waved his lawn and made a grain of sand that has a diameter of 0.00002 m go to a diameter 0.006 m a

pproximately how many times as large as a diameter of the grain of sand now as it was before Harvey Porter where is his wand

Mathematics
1 answer:
Alexxandr [17]3 years ago
8 0

A. 3 x 10^2

300 times the size

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<img src="https://tex.z-dn.net/?f=x%5Ea%3Dy%5Eb%3Dz%5Ec%20%5C%5Cxyz%3D1%5C%5Cab%2Bbc%2Bca%3D%3F" id="TexFormula1" title="x^a=y^b
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Answer:

<em>ab+bc+ca=0</em>

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We are given:

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y^b=z^c

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\displaystyle x=z^\frac{c}{a}

Solving the second equation for y:

\displaystyle y=z^\frac{c}{b}

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\displaystyle z^\frac{c}{a}z^\frac{c}{b}z=1

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\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=1

Since 1=z^0:

\displaystyle z^{\frac{c}{a}+\frac{c}{b}+1}=z^0

The base is z on both sides so we get rid of them:

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Multiplying by ab:

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Reordering:

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</span>
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