3^3 * ( 3^-0.2) ^4 / 3.... anyone know how to simplify this?

Question

3^3 * ( 3^-0.2) ^4 / 3.... anyone know how to simplify this?

Answer 1

(3)³ ∙ (3^-0.2)^4/3 = (3)³ ∙ (3^-1/5)^4/3

When you raise a number raised to a power to another power, multiply the powers together.  So (3^-1/5)^4/3 = (3)^-1/5 ∙ 4/3 = 3^-4/15.  When you multiply the same base number raised to powers together, add the exponents.  So the final expression above becomes this:

(3)³ ∙ (3^-1/5)^4/3 = 3^(3 - 4/15) = 3^(45 - 4)/15 = 3^(41/15)

3^(41/15) is the final result.

Answer 2

yes i do. why?