Surds and Indices - Arithmetic Aptitude Questions and Answers

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(25)^7.5 x (5)^2.5 Ã· (125)^1.5 = 5^?

8.5

17.5

None of these

Answer : Option B

Explanation :

Let (25)^7.5 x (5)^2.5 Ã· (125)^1.5 = 5^x.

Then,(5^2)*(5)2.5/(5^3)^1.5=5X

\(\frac { 5(2*7.5)*5^2.5} { 5(3*1.5) } =5^X\)

5^x = 5^{(15 + 2.5 - 4.5)}

5^x = 5¹³

x = 13.

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