Question

Solve 6.7* 10^-11*6*10^24*7.4*10^22/(3.84*10^8)^2

Answer 1

Hello Friends ✌
Here is u r Ans ➡

$= \frac{6.7 \times 10 {}^{ - 11} \times 6 \times 10 {}^{24} \times 7.4 \times 10 {}^{22} }{(3.84 \times 10 {}^{8}) {}^{2} }$

$= \frac{( \frac{61}{10} ) {}^{2} \times 6 \times 10 {}^{24} \times \frac{37}{5} \times 10 {}^{22} }{3.84 {}^{2} \times 10 {}^{16} }$

$= using \: > \: ( \frac{a}{b} ) {}^{ - n} = ( \frac{b}{a} ) {}^{n}$

$= \frac{ (\frac{10}{61} ) {}^{11} \times 6 \times 10 {}^{8} \times \frac{37}{5} \times 10 {}^{22} }{( \frac{96}{25}) {}^{2} }$
$= \frac{ \frac{10 {}^{11} }{61 {}^{11} } \times 6 \times 10 {}^{8} \times \frac{37}{5} \times 10 {}^{22} }{ \frac{9216}{625} }$

$= \frac{ \frac{22 \times 10 {}^{41} }{5 \times 61 {}^{11} } }{ \frac{9216}{625} }$

$= \frac{4625 \times 10 {}^{41} }{1536 \times 61 {}^{11} }$

In Decimal Form ➡
$= 6.91978 \times 10 {}^{21}$

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Answer 2

$<b>Heya mate. (^_-). Solution below.$
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♠ 6.7 × 10^-11 × 6 × 10^24 × 7.4 × 10^22/(3.84 × 10^8)²


$= \frac{ 6.7 \times 10 ^{ - 11} \times 6 \times {10}^{24} \times 7.4 \times {10}^{22} }{(3.84) ^{2} }$


$= \frac{6.7 \times 6 \times 7.4 \times 10 ^{ - 11} \times {10}^{24} \times {10}^{22} }{3.84 \times {10}^{8} \times 3.84 \times {10}^{8} }$


♦ Using identity : a^m × a^n = a^m+n

$= \frac{6.7 \times 6 \times 7.4 \times {10}^{ - 11 + 24 + 22} }{3.84 \times 3.84 \times {10}^{8} \times {10}^{8} }$


♦ Using identity : a^m ÷ a^n = a^m-n,

$= \frac{ 6.7 \times 6 \times 7.4 \times 10 ^{ - 11 + 24 + 22 - 8 - 8} }{3.84 \times 3.84}$


$= \frac{6.7 \times 6 \times 7.4 \times 10 ^{19} }{3.84 \times 3.84}$


$= \frac{297.48 \times 10 ^{19} }{14.74}$


$= 20.18 \times {10}^{19}$


$= 2.018 \times {10}^{20}$


•°• Your answer is 2.018 × 10^20.




♠ A secret information -

♦ The value is also the gravitational force exerted by the earth on the moon.
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$<marquee>Thank you.$