Since they have the same coefficient, simply use the product rule for the exponents. Just add them, then transform the expression to root. Evaluate the expression then solve.
Step-by-step explanation:
Add the exponents.
1/5 + 7/5 = 8/5
5^8/5
Then, express to root. Numerator will become the exponent, then denominator will be the nth root.
5√5^8 (fifth root of 5 raised to 8)
Simplify the radical expression.
5 5√5³ (since it is fifth root, just subtract 5 from the exponent, 8-5=3)
Answers & Comments
Answer:
Since they have the same coefficient, simply use the product rule for the exponents. Just add them, then transform the expression to root. Evaluate the expression then solve.
Step-by-step explanation:
Add the exponents.
1/5 + 7/5 = 8/5
5^8/5
Then, express to root. Numerator will become the exponent, then denominator will be the nth root.
5√5^8 (fifth root of 5 raised to 8)
Simplify the radical expression.
5 5√5³ (since it is fifth root, just subtract 5 from the exponent, 8-5=3)
Then, evaluate the power.
5 5√125 (5³ is 125)
5 5√125 ≈ 13.13264