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The value of 400,000 squared can be written as $1.6 \times 10^n$. What is the value of $n$?

 Aug 9, 2022
 #1
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What is the value of n?

 

Hello Guest!

 

\(400,000^2=160,000,000,000=1.6\cdot 10^{11}\)

The value of n is 11.

laugh  !

 Aug 9, 2022
 #2
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\(400,000 = 4 \times 10^5\)

\((4 \times 10^5)(4 \times 10^5) = (4 \times 4)(10^5 \times 10^5)=16 \times 10^{10}\)

\(16 \times 10^{10} = 1.6 \times 10^{11}\)

\(n = \color{brown}\boxed{11}\)

.
 Aug 12, 2022

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