Question

simplify 12power-1/3(125 power 1/3 -125power2/3)​

Answer 1

Step-by-step explanation:

[9(64

31 +125 31 ) 3] 41

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}}[9((4 3 ) 31 +(5 3 ) 31 ) 3 ] 41

Evaluate the exponents:

\bigg[ 9 \bigg(4 + 5\bigg)^3 \bigg]^{\frac{1}{4}}[9(4+5) 3 ] 41

Add 4 and 5:

\bigg[ 9 \bigg( 9 \bigg)^3 \bigg]^{\frac{1}{4}}[9(9)3 ] 41

Combine the 9s as exponents:

\bigg[ 9^4 \bigg]^{\frac{1}{4}}[94 ] 41

Evaluate the exponents:99.