5⁶+⅞-1

To solve the expression 5⁶+⅞-1, we can follow the order of operations, which is often represented as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right)).

First, let's calculate the exponent. Evaluate 5⁶:

5⁶ = 5 * 5 * 5 * 5 * 5 * 5 = 15,625

Now, let's add the result of the exponent to the fraction:

15,625 + ⅞ = 15,625/1 + 7/8

To add these fractions, we need a common denominator, which is 8:

15,625/1 + 7/8 = (15,625 * 8)/(1 * 8) + 7/8 = 125,000/8 + 7/8

Now, we can add the fractions:

125,000/8 + 7/8 = (125,000 + 7)/8 = 125,007/8

Finally, let's subtract 1 from this fraction:

125,007/8 - 1 = (125,007 - 8)/8 = 125,999/8

Therefore, the solution to the expression 5⁶+⅞-1 is 125,999/8.