Write each expression as a single power of 10

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asked Mar 10, 2022 63.8k views

2 votes

Write each expression as a single power of 10

Mathematics
high-school

Dennis De Best asked

by Dennis De Best

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1 Answer

4 votes

Answer:

It is

${10}^(5)$

Explanation:

$\frac{ {10}^(4). {10}^(5) . {10}^(6) }{ {10}^(3) . {10}^(7) } = \frac{ {10}^((4 + 5 + 6)) }{ {10}^((3 + 7)) } \\ \\ = \frac{ {10}^(15) }{ {10}^(10) } \\ \\ = {10}^((15 - 10)) \\ = {10}^(5)$

Hochopeper answered Mar 16, 2022

by Hochopeper

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