why is 10'15 equal to 10'11? explain ur thinking. ___ 10'4

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25-10-2022
Mathematics

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why is 10'15 equal to 10'11? explain ur thinking. ___ 10'4

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ArriettyK85394 ArriettyK85394 · Answer 1 · 2022-10-25T15:21:49+02:00

[tex]\frac{10^{15}}{10^4}=10^{11}\text{ for the following reasons:}[/tex][tex]To\text{ calcultate }\frac{10^{15}}{10^4}\text{ you would have to apply exponent rule}[/tex]

Exponent rule is the following:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex][tex]\text{Therefore, if for }\frac{10^{15}}{10^4}\text{ a is 15 and b is 4, therefore:}[/tex][tex]\frac{10^{15}}{10^4}=10^{15-4}[/tex][tex]So,\text{ }10^{\mleft\{15-4\mright\}}=10^{11}[/tex]