5⁶+⅞-1

To solve this problem, we need to follow the order of operations (also known as PEMDAS): Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right).

In this case, we only have an exponent, addition, and subtraction.

We can start by evaluating the exponent 5⁶: 5⁶ = 5 * 5 * 5 * 5 * 5 * 5 = 15,625

Now we can substitute the exponent with its value in the expression: 15,625 + ⅞ - 1

Next, we can add the fractions: ⅞ = 8/8 + 7/8 = 15/8

Now we can substitute the fractions with their sum in the expression: 15,625 + 15/8 - 1

Finally, we can simplify the expression by finding a common denominator: 15,625 + 15/8 - 1 = 15,625 + (15 * 1)/(8 * 1) - 1 = 15,625 + 15/8 - 1 = 15,625 + 15/8 - 8/8 = 15,625 + 7/8

Since the fractions have the same denominator, we can add the numerators and keep the denominator: 15,625 + 7/8 = (15,625 * 8 + 7) / 8 = 125,000 + 7 / 8 = 125,007 / 8

Therefore, the simplified expression is 125,007/8.