Question

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

Answer 1

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.