Answer :
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Convert everything to exponential form, and then use the rules for working with exponents.
cube root of 5 = 5^⅓
²√5 = 5^½
cube root of 5 to the power of 5 =5^(5/3)
Therefore, cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 = 5^(⅓ + ½ - (5/3)) = 5^{(2 + 3 - 10)/6} = 5^(-5/6)
The answer should be 5 to the power of negative 5 over 6
Convert everything to exponential form, and then use the rules for working with exponents.
cube root of 5 = 5^⅓
²√5 = 5^½
cube root of 5 to the power of 5 =5^(5/3)
Therefore, cube root of 5 multiplied by square root of 5 over cube root of 5 to the power of 5 = 5^(⅓ + ½ - (5/3)) = 5^{(2 + 3 - 10)/6} = 5^(-5/6)
The answer should be 5 to the power of negative 5 over 6