Question

convert 7.54×10⁻⁸ meters to nanometers. use only the metric system.
7.54×10⁻⁸ m × (10⁹ nm / 1 m)

Explanation:

Step1: Recall conversion factor

We know that $1$ meter ($m$) is equal to $10^{9}$ nanometers ($nm$), so the conversion factor is $\frac{10^{9}nm}{1m}$.

Step2: Multiply the given value

We have $7.54\times 10^{-8}m$. Multiply it by the conversion factor: $(7.54\times 10^{-8}m)\times\frac{10^{9}nm}{1m}$.
Using the rule of exponents $a^{m}\times a^{n}=a^{m + n}$, we get $7.54\times10^{-8 + 9}nm=7.54\times 10^{1}nm = 75.4nm$.

Answer:

$75.4$