Question

Simplify ( 1^3 + 2^3 + 3^3 ) 3/2

Answer 1

Answer:

216

Step-by-step explanation:

(1³+2²+3³)³/²

(36)³/²

(6)²*³/²

(6)³

216

Answer 2

Answer:

$\displaystyle =54$

Step-by-step explanation:

This question is about the order of operations; it stands for parenthesis, exponent, multiply, divide, add, and subtract from left to right.

The first thing you do is parenthesis.

$\displaystyle 1^3=1*1*1=1$

$\displaystyle \frac{3}{2}(2^3+3^3+1)$

The second thing you do is multiply fractions.

$\displaystyle \frac{3(1+2^3+3^3)}{2}$

The third thing you do is exponent.

$\displaystyle 2^3=2*2*2=8$

$\displaystyle 3(3^3+1+8)$

$\displaystyle 3^3=3*3*3=27$

$\displaystyle 3(1+8+27)$

Add the numbers from left to right.

$\displaystyle 1+8=9+27=36$

$\displaystyle 3*36=108$

The final thing you do is divide numbers from left to right to find the answer.

$\displaystyle 108\div2=54$

54, which is our answer.