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Please , I am really bad at math, can you explain how you get the answer when you answer

Please , I am really bad at math, can you explain how you get the answer when you-example-1
User RJo
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2 Answers

2 votes
The answer would be the last one
User Akila Sachitra
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5 votes
For this case we have the following expression:

√(10)^{(3)/(4)x}
By power properties, we can rewrite the square root as number 10 as a base and number 1/2 as an exponent.
We have then:

(10^{(1)/(2)})^{(3)/(4)x}
Then, Rewriting we have:

10^{ (1)/(2)(3)/(4)x}

10^{(3)/(8)x}
finally by properties of radicals we have:

\sqrt[8]{10}^(3x)
Answer:

\sqrt[8]{10}^(3x)
option 4
User JorelC
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