Question

40 to the power of 2 minus 40 to the power of 1 divided by 15 to the power of 2 minus 15 to the power of 1

Answer 1

To solve this expression, let's simplify each part step by step:

First, we calculate 40 to the power of 2:
40^2 = 40 * 40 = 1600

Next, we calculate 40 to the power of 1:
40^1 = 40

Then, we calculate 15 to the power of 2:
15^2 = 15 * 15 = 225

Finally, we calculate 15 to the power of 1:
15^1 = 15

Now, we substitute these values back into the original expression:

1600 - 40 / 225 - 15

Next, we simplify the division:
40 / 225 = 0.1778

Now, we have:
1600 - 0.1778 - 15

Finally, we subtract these numbers:
1600 - 0.1778 - 15 = 1584.8222

Therefore, 40 to the power of 2 minus 40 to the power of 1 divided by 15 to the power of 2 minus 15 to the power of 1 equals approximately 1584.8222.