Question

$\huge\mathcal{\fcolorbox{lime}{black}{\orange{•Solve:-}}}$

$\frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{6.4 ^{2} \times {10}^{6 \times 2}}$



«ɢɪᴠᴇ sᴛᴇᴘ ʙʏ sᴛᴇᴘ ᴇxᴘʟᴀɪɴᴀᴛɪᴏɴ»
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Answer 1

✦ Given :

Expression $\displaystyle \sf \frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{6.4 ^{2} \times {10}^{6 \times 2}}$

$\:$

✦ To Find :

Solution of the expression ?

$\:$

✦ Solution :

Write the expression as

$\: \: : ⟹ \: \: \displaystyle \sf \frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{(6.4 )^{2} \times {(10}^{6 })^{2} }$

$\: \: : ⟹ \: \: \displaystyle \sf \frac{40.2 \times {10}^{ - 11 + 24} }{40.96 \times 10 ^{12} }$

$\: \: : ⟹ \: \: \displaystyle \sf \frac{40.2 \times {10}^{13 - 12} }{40.92}$

$\: \: : ⟹ \: \: \displaystyle \sf \frac{40.2 \times 10}{40.96}$

$\: \: : ⟹ \: \: \displaystyle \sf 9.81$

$\:$

Therefore,

$\boxed{ \displaystyle \sf \frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{6.4 ^{2} \times {10}^{6 \times 2}} = 9.81}$

$\:$

Answer 2

$\LARGE\color{black}{\colorbox{#4FB3F6}{Q}\colorbox{#FEDD8E}{u}\colorbox{#FBBE2E}{e}\colorbox{#60D399}{s}\colorbox{#FF7968}{t}\colorbox{#FBBE2E}{i} \colorbox{#FEDD8E}{o}\colorbox{#FEDD8E}{n}}$

$\huge \red {\frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{6.4 ^{2} \times {10}^{6 \times 2}}}$

$\LARGE\color{black}{\colorbox{#4FB3F6}{A}\colorbox{#FEDD8E}{n}\colorbox{#FBBE2E}{s}\colorbox{#60D399}{w}\colorbox{#FF7968}{e}\colorbox{#FBBE2E}{r} }$

$\huge\orange{Given : }\\ \pink{Expression\frac{6.7 \times {10}^{ - 11} \times 6.4 \times {10}^{24} \times 1}{6.4 ^{2} \times {10}^{6 \times 2}}} \\ \huge \orange{ To \: find:} \\ \pink{ Solution \: of \: the \: expression ?} \\ \orange{ Write \: the \: expression \: as,} \\ \pink{ = \frac{6.7 \times6 \times {10}^{ - 11} \times {10}^{24}}{(6.4)^{2}\times( {10}^{6})^{2}}} \\ \pink{ = \frac{40.2 \times 10^{ - }¹¹^{ + }²⁴ } {40.96 \times 10^{12}}} \\ \pink { = \frac{40.2 \times 10 ¹³^{ - } ¹²}{40.96} } \\ \pink{ = \frac{40.2 \times 10}{40.96} } \\ \pink{ = 9.81 }$