Question

How many times bigger is 10²⁴ to 10 ⁻⁶?

Answer 1

10²⁴ is
`\(10^(30)\)` times bigger than
`\(10^(-6)\)`, emphasizing the substantial magnitude difference represented by the positive exponent gap in scientific notation.

Step-by-step explanation:

To compare the sizes of these numbers, we can subtract the exponents:

`\[ 10^(24) - (-6) = 10^(30) \]`

This means that
`\(10^(24)\)` is
`\(10^(30)\)` times larger than
`\(10^(-6)\)`. The positive difference in exponents signifies a vast difference in magnitude, showcasing the power and utility of scientific notation in representing numbers with extreme scales.