To solve the expression 5⁶ + ⅞ - 1:
Step 1: Calculate 5⁶ 5⁶ = 5 * 5 * 5 * 5 * 5 * 5 = 15625
Step 2: Add ⅞ 15625 + ⅞
Step 3: Find a common denominator between the two fractions, which is 8. Rewrite ⅞ with a denominator of 8: ⅞ = 7/8 * 8/8 = 7/8
Step 4: Add the fractions: 15625 + 7/8
Step 5: Convert the whole number 15625 to a fraction with a denominator of 8: 15625 = 15625/1 * 8/8 = 125,000/8
Step 6: Add the fractions: 125,000/8 + 7/8 = (125,000 + 7)/8
Step 7: Simplify the numerator: (125,000 + 7) = 125,007
Step 8: Final answer: 125,007/8 - 1/8 = 125,006/8
So, 5⁶ + ⅞ - 1 is equal to 125,006/8.
