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21-08-2021
Mathematics

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write each expression as a single power of 10

write each expression as a single power of 10 class=

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21-08-2021

Answer:

It is

[tex] {10}^{5} [/tex]

Step-by-step explanation:

[tex] \frac{ {10}^{4}. {10}^{5} . {10}^{6} }{ {10}^{3} . {10}^{7} } = \frac{ {10}^{(4 + 5 + 6)} }{ {10}^{(3 + 7)} } \\ \\ = \frac{ {10}^{15} }{ {10}^{10} } \\ \\ = {10}^{(15 - 10)} \\ = {10}^{5} [/tex]

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