5⁶+⅞-1

To solve this expression, we need to follow the order of operations (also known as PEMDAS).

First, we have the exponentiation operation. So, we need to calculate 5 raised to the power of 6:

5⁶ = 5 * 5 * 5 * 5 * 5 * 5 = 15625

Next, we have subtraction. So, we subtract 1 from the result we obtained in the previous step:

15625 - 1 = 15624

Finally, we have addition. So, we add 7/8 to the previous result:

15624 + 7/8

To add fractions, we need a common denominator. In this case, the denominators are 1 and 8. The lowest common denominator is 8. So, let's rewrite 7/8 with a denominator of 8:

7/8 = 7 * (8/8) = 7/8 * 8/8 = 56/64

Now, we can add the fractions:

15624 + 56/64

To add fractions, we need the same denominator. In this case, both numbers already have a denominator of 64. So, we can directly add the numerators:

15624 + 56 = 15680

Therefore, the final result is 15680.