Fractional indeces help. Maths question?

2014-04-15 2:12 pm
How do you work this out im so confused!

5 squareoot 5 can be written in the form of 5^n

Whats the value of n


I dont get it. Btw the answer os 1.5 i checked.

回答 (6)

2014-04-15 2:13 pm
5 * sqrt(5) = 5^1 * 5^0.5 = 5^(1 + 0.5) = 5^1.5
2014-04-15 4:16 pm
5 x 5^(1/2) = 5^(3/2)
2014-04-15 2:23 pm
5^1.5=5*5^1/2=5√5
2014-04-15 2:16 pm
5√5
= 5*5^(1/2)
= 5^(3/2)
= 5^1.5
2014-04-15 2:16 pm
5 √5 = 5^n

=> 5 * 5^(1/2) = 5^n

=> 5^(1+1/2) = 5^n

=> n = 1 + 1/2 = 3/2
2014-04-15 2:14 pm
5√5 = 5 * (5)^(1/2) = 5^(3/2)

n = (3/2) or 1.5

Σ


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