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the diameter of the sun is 1.4 ×10⁹m and the diameter of the earth is 1.3 ×10⁷ .Find the ratio of the diameter of sun to that of the earth.​

Answer» <html><body><p>-step explanation:Given :-The diameter of the <a href="https://interviewquestions.tuteehub.com/tag/sun-1234558" style="font-weight:bold;" target="_blank" title="Click to know more about SUN">SUN</a> is 1.4 ×10⁹m and the diameter of the <a href="https://interviewquestions.tuteehub.com/tag/earth-13129" style="font-weight:bold;" target="_blank" title="Click to know more about EARTH">EARTH</a> is 1.3 ×10⁷ mTo find :-Find the <a href="https://interviewquestions.tuteehub.com/tag/ratio-13379" style="font-weight:bold;" target="_blank" title="Click to know more about RATIO">RATIO</a> of the diameter of sun to that of the earth?Solution :-Given that :The diameter of the sun = 1.4×10⁹ mThe diameter of the earth = 1.3 × 10⁷ mThe ratio of the diameter of the Sun to the ratio of the diameter of the earth = ( 1.4×10⁹ ) : ( 1.3 × 10⁷ )= ( 1.4×10⁹ ) / ( 1.3 × 10⁷ )= (1.4/1.3) × (10⁹/10⁷)= (14/10)/(13/10) × (10⁹/10⁷)=&gt;( 14/13) × 10⁹-⁷Since a^m/a^n = a^(m-n)=&gt; (14/13)× 10²=&gt; 14×10²/13=&gt; 14×100/13=&gt; 1400/13=&gt; 1400:13Answer:-The ratio of the diameter of the Sun to the ratio of the diameter of the earth is 1400:13Used <a href="https://interviewquestions.tuteehub.com/tag/formulae-996890" style="font-weight:bold;" target="_blank" title="Click to know more about FORMULAE">FORMULAE</a>:-→ a^m/a^n = a^(m-n)→ a:b can be written as a/b</p></body></html>


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