Question

If it requires 10^4 (to the 4th power) silkworms to produce enough silk to make a scarf in a given amount of time, but it requires 101^9 silkworms to produce enough silk to make a sheet in the same amount of time. How many times more silkworms are needed for the sheet than the scarf?

Answer 1

To find out how many times more silkworms are needed for the sheet than the scarf, subtract the exponents of the quantities and determine the difference.

Step-by-step explanation:

To find out how many times more silkworms are needed for the sheet than the scarf, we need to compare the two quantities. The number of silkworms needed for the scarf is 10^4 and the number of silkworms needed for the sheet is 10^9. We can subtract the exponents to find the difference:

10^9 - 10^4 = 10^(9-4) = 10^5.

Therefore, the number of silkworms needed for the sheet is 10^5 times more than the number needed for the scarf.