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

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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
+13894
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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.

!

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