Question

how do you write $6.64 \times 10^{-7}$ in standard form?

Explanation:

Step1: Understand negative exponent rule

A negative exponent $10^{-n}$ means dividing by $10^n$, or moving the decimal left $n$ places.

Step2: Move decimal left 7 places

Start with 6.64:

1. Move left 1 place: 0.664
2. Move left 2 places: 0.0664
3. Move left 3 places: 0.00664
4. Move left 4 places: 0.000664
5. Move left 5 places: 0.0000664
6. Move left 6 places: 0.00000664
7. Move left 7 places: $0.000000664$

Answer:

0.000000664