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Simplify square root of 5 multiplied by the cube root of 5

5 to the power of 5 over 6

5 to the power of 1 over 6

5 to the power of 2 over 3

5 to the power of 7 over 6

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MissPhiladelphia
For the answer to the question above, asking to simplify square root of 5 multiplied by the cube root of 5.

the square root of 5 is 5^(1/2) 
the cube root of 5 is 5^(1/3) 
so square root of five times cube root of five = 5^(1/2) * 5^(1/3) = 5^(1/2+1/3)=5^(5/6)

I hope my answer helped you.

Answer:

Simplified form of square root of 5 multiplied by the cube root of 5  is:

5 to the power of 5 over 6

Step-by-step explanation:

square root of 5 multiplied by the cube root of 5

= [tex]\sqrt{5}\times \sqrt[3]{5}[/tex]

=[tex]5^{1/2}\times 5^{1/3}[/tex]

=[tex]5^{\dfrac{1}{2}+\dfrac{1}{3}}[/tex]

=[tex]5^{5/6}[/tex]

Hence, simplified form of square root of 5 multiplied by the cube root of 5  is:

5 to the power of 5 over 6

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