Factor the given expression. 64^3-343

63³-343 = 261801

Factor the following integer:

261'801

The sum of the digits of 261801 is 2 + 6 + 1 + 8 + 0 + 1 = 18, which is divisible by 9. This means 261801 is too.

261801 = 9×29089:

261801 = 9×29089

9 = 3^2:

261801 = 3^2×29089

Because 29089 is odd, only test odd numbers for divisibility.

29089 is not divisible by 3, 5, 7, 9, 11, 13, 15 or 17.

29089 = 19×1531 which means 29089 is divisible by 19:

261801 = 3^2×19×1531

3 is prime:

261801 = 3^2×19×1531

Because 19 is odd, only test odd numbers for divisibility.

19 is not divisible by 3.

Since 19 is not divisible by any integer up to 4, it is prime:

261801 = 3^2×19×1531

Because 1531 is odd, only test odd numbers for divisibility.

1531 is not divisible by 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37 or 39.

Since 1531 is not divisible by any integer up to 39, it is prime:

261801 = 3^2×19×1531

There are 2 copies of 3, 1 copy of 19 and 1 copy of 1531 in the product:

261801 = 3^2×19×1531

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!