5⁶+⅞-1

To solve the expression 5⁶ + ⅞ - 1, we need to follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).

First, let's calculate the exponent: 5⁶ means 5 raised to the power of 6. So, 5⁶ = 5 × 5 × 5 × 5 × 5 × 5 = 15,625.

Now, let's continue with the addition and subtraction:

5⁶ + ⅞ - 1 = 15,625 + ⅞ - 1

To add fractions, we need a common denominator. So, let's convert ⅞ to have the same denominator as 1.

8 is the common denominator, so ⅞ is equivalent to (7/8) * (8/8) = 7/8.

Now, let's substitute these values into the expression:

15,625 + 7/8 - 1

To subtract fractions, we also need a common denominator. So, let's convert 1 to have the same denominator as 8.

1 is equivalent to (1/1) * (8/8) = 8/8.

Now, let's substitute this value again into the expression:

15,625 + 7/8 - 8/8

To add or subtract fractions, we need them to have the same denominator. In this case, both the fractions already have the same denominator, so we can directly perform the addition and subtraction:

15,625 + 7/8 - 8/8 = 15,625 + (7 - 8)/8 = 15,625 - 1/8

Now, we have a mixed expression with a whole number and a fraction. To subtract the fraction from the whole number, we again need a common denominator:

15,625 - 1/8 = 15,625/1 - 1/8 = (15,625 * 8 - 1)/8 = (125,000 - 1)/8 = 124,999/8

So, the final result of the expression 5⁶ + ⅞ - 1 is 124,999/8.