Question

Simplify [9(64*1/3+125*1/3)*3]1/4​

Answer 1

$\bigg[ 9 \bigg(64^{\frac{1}{3}} + 125^{\frac{1}{3}} \bigg)^3 \bigg]^{\frac{1}{4}}$

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:

99

Answer: 9

Answer 2

Answer:

1701/4

Step-by-step explanation:

9*64+125*3*1

3 4

=9*189

4

=1701

4