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(3 raised to the power -1 + 4 raised to the power -1 + 5 raised to the power -1) raised to the power x = 1?
Most Upvoted Answer
(3 raised to the power -1 + 4 raised to the power -1 + 5 raised to the...



Explanation:

Solution:
1. Convert the given expression into a single fraction:
- 3^-1 + 4^-1 + 5^-1 = 1/3 + 1/4 + 1/5
- Find a common denominator: 3*4*5 = 60
- Convert each fraction to have a denominator of 60:
1/3 = 20/60, 1/4 = 15/60, 1/5 = 12/60
- Add the fractions together: 20/60 + 15/60 + 12/60 = 47/60
2. Rewrite the equation with the calculated fraction:
- (47/60)^x = 1
3. Solve for x:
- Since any number raised to the power of 0 equals 1, we can conclude that x must be 0 in this case:
(47/60)^0 = 1
4. Final Answer:
- The value of x that satisfies the given equation is 0.

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(3 raised to the power -1 + 4 raised to the power -1 + 5 raised to the power -1) raised to the power x = 1?
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