Answer: 4.62 x 10^(-5)
Explanation:
To express 0.000462/10^7 in standard form, let's simplify it step by step:
1. Start by moving the decimal point in 0.000462 seven places to the right because the exponent is positive. This gives us 0.00462.
2. Next, divide 0.00462 by 10^7. To do this, we need to divide the decimal number by 10 and raise 10 to the power of 7.
3. Dividing 0.00462 by 10 gives us 0.000462, and raising 10 to the power of 7 gives us 10,000,000.
4. So, 0.000462/10^7 in standard form is equal to 0.000462 * 10^(-7) or 4.62 * 10^(-5).
In standard form, the number is written as 4.62 x 10^(-5)