Question

Simplify [9*(64)^1/3+(125)^1/3]^1/4

Answer 1

Step-by-step explanation:

Rewrite 64 and 125 as exponents:

\bigg[ 9 \bigg((4^3)^{\frac{1}{3}} + (5^3)^{\frac{1}{3}} \bigg)^3 \bigg]^{\frac{1}{4}}

Evaluate the exponents:

\bigg[ 9 \bigg(4 + 5\bigg)^3 \bigg]^{\frac{1}{4}}

Add 4 and 5:

\bigg[ 9 \bigg( 9 \bigg)^3 \bigg]^{\frac{1}{4}}

Combine the 9s as exponents:

\bigg[ 9^4 \bigg]^{\frac{1}{4}}

Evaluate the exponents:

9

.

Answer: 9

Hope it helps u........