SOLUTION: How do I solve for a varaible with a decimal exponent? x^0.725 = 41.494

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Since the goal is to have an equation that says:
x = some number
Since the exponent on x is 1, we can look at the problem as: "How do I change an exponent of 0.725 to a 1?" One way we could do this is to raise both sides to the 1/0.725 power. Let's see:

The left side works out to be x because

• 
• 0.725 and 1/0.725 are reciprocals
• When you multiply reciprocals you always get 1
• 

So we have

We can use our calculators to find the right side. (It works out to be approximately 170.4919451462086020.)