Answer:
[tex]1.0 * 10^{-10} = 0.0000000001[/tex]
Explanation:
Given
[tex]1.0 * 10^{-10}[/tex]
Required
Convert to standard form
[tex]1.0 * 10^{-10}[/tex]
From laws of indices
[tex]a^{-x} = \frac{1}{a^x}[/tex]
So, [tex]1.0 * 10^{-10}[/tex] is equivalent to
[tex]1.0 * 10^{-10} = 1.0 * \frac{1}{10^{10}}[/tex]
[tex]1.0 * 10^{-10} = 1.0 * \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}* \frac{1}{10}[/tex]
[tex]1.0 * 10^{-10} = 1.0 * \frac{1}{10000000000}[/tex]
[tex]1.0 * 10^{-10} = 1.0 * 0.0000000001[/tex]
[tex]1.0 * 10^{-10} = 0.0000000001[/tex]
Hence, the standard form of [tex]1.0 * 10^{-10}[/tex] is [tex]0.0000000001[/tex]
