Question

1.0•10^-10 standard form

Answer 1

`1.0 * 10^(-10) = 0.0000000001`

Step-by-step explanation:

Given

`1.0 * 10^(-10)`

Required

Convert to standard form

`1.0 * 10^(-10)`

From laws of indices

`a^(-x) = (1)/(a^x)`

So,
`1.0 * 10^(-10)` is equivalent to

`1.0 * 10^(-10) = 1.0 * (1)/(10^(10))`

`1.0 * 10^(-10) = 1.0 * (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)* (1)/(10)`

`1.0 * 10^(-10) = 1.0 * (1)/(10000000000)`

`1.0 * 10^(-10) = 1.0 * 0.0000000001`

`1.0 * 10^(-10) = 0.0000000001`

Hence, the standard form of
`1.0 * 10^(-10)` is
`0.0000000001`