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REY [17]
2 years ago
6

3^-3 x 10^-3 what is the value?

Mathematics
1 answer:
Semenov [28]2 years ago
7 0

Answer:

\frac{1}{27000} or 3.703 × 10^{-5} \\

Step-by-step explanation:

3^{-3} \\ is the same as \frac{1}{3}^{3} or \frac{1}{27}.

10^{-3} is the same as \frac{1}{10}^3 or \frac{1}{1000}.

So, 3^{-3} × 10^{-3} is basically \frac{1}{3}^{3}× \frac{1}{10}^3 or \frac{1}{27} × \frac{1}{1000}, which both are simplified to \frac{1}{27000} .

\frac{1}{27000} can also be written as 3.703 × 10^{-5} \\ in scientific notation in decimal form.

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