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Can you explain me how to do this question ❓
5⁸+6⁷/25³+6⁸=3125b+a³ then find value of a+b?
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Can you explain me how to do this question ❓ 5⁸+6⁷/25³+6⁸=3125b+a³ the...
Understanding the Equation
To solve the equation 5⁸ + 6⁷ / 25³ + 6⁸ = 3125b + a³, we need to break it down step-by-step.
Step 1: Simplify the Left Side
- Calculate 5⁸:
- 5⁸ = 390625
- Calculate 6⁷:
- 6⁷ = 279936
- Calculate 25³:
- 25 = 5², so 25³ = (5²)³ = 5⁶ = 15625
- Calculate 6⁸:
- 6⁸ = 1679616
- Now combine these calculations:
- 5⁸ + 6⁷ = 390625 + 279936 = 670561
- 25³ + 6⁸ = 15625 + 1679616 = 1694241
- Now evaluate the whole left side:
- 670561 / 1694241
Step 2: Evaluate the Right Side
- We have 3125b + a³.
- 3125 can be rewritten as 5⁵.
Step 3: Equate Both Sides
- After simplifying the left side, we equate it to the right side (3125b + a³).
- You need to determine values for 'a' and 'b' such that both sides are equal.
Final Calculation
- Find possible integers for 'a' and 'b' that satisfy the equation.
- You can check each integer combination to find a solution.
Finding a + b
- After you determine 'a' and 'b', simply add them together to find the final result.
By following these steps, you can solve the equation systematically.
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