Question

Pls help WILL FAN AND MEDAL
Please Help!! Evaluate. cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5

Answer 1

5 to the power of negative 1 over 6
5 to the power of 3 over 2
5 to the power of 5 over 2
5 to the power of negative 5 over 6

Answer 2

@AlexandervonHumboldt2

Answer 3

@tkhunny

Answer 4

@mathmale

Answer 5

@Sushi121212

Answer 6

i think its the last one

Answer 7

but i need help to undestand it

Answer 8

@bibby

Answer 9

Have you considered writing all the elements as an exponent on the common base, 5?

\(\sqrt{5} = 5^{1/2}\)

\(\sqrt[3]{5} = 5^{1/3}\)

\(\sqrt{5}\cdot\sqrt[3]{5} = 5^{1/2}\cdot 5^{1/3} = 5^{1/2 + 1/3} = 5^{3/6 + 2/6} = 5^{5/6} = \left(\sqrt[6]{5}\right)^{5}\)

Let's see what you get out of the denominator.