A number in scientific notation has the format 0.000 x 10^exponent. To convert to scientific notation, move the decimal point to the right or the left until the number is a decimal between 1 and 10. The exponent of the 10 is the number of places you moved the decimal point and is positive if you moved the decimal point to the left and negative if you moved it to the right:

9,866,000 in scientific notation is 9.866 x 10⁶

A factor is a positive integer that divides evenly into a given number. For example, the factors of 8 are 1, 2, 4, and 8.

The factors of 32 are [1, 2, 4, 8, 16, 32] and the factors of 72 are [1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72]. They share 4 factors [1, 2, 4, 8] making 8 the greatest factor 32 and 72 have in common.

To raise a term with an exponent to another exponent, retain the base and multiply the exponents:

If the tiger has consumed 63 pounds of food in 9 days that's \( \frac{63}{9} \) = 7 pounds of food per day. The tiger needs to consume 84 - 63 = 21 more pounds of food to reach 84 pounds total. At 7 pounds of food per day that's \( \frac{21}{7} \) = 3 more days.