simplify ( 1^2×2^2+3^2) × (2/3)^3 ÷ (4/3)^2
Answers
=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=11
3
=1∗1∗1=1
\displaystyle \frac{3}{2}(2^3+3^3+1)
2
3
(2
3
+3
3
+1)
The second thing you do is multiply fractions.
\displaystyle \frac{3(1+2^3+3^3)}{2}
2
3(1+2
3
+3
3
)
The third thing you do is exponent.
\displaystyle 2^3=2*2*2=82
3
=2∗2∗2=8
\displaystyle 3(3^3+1+8)3(3
3
+1+8)
\displaystyle 3^3=3*3*3=273
3
=3∗3∗3=27
\displaystyle 3(1+8+27)3(1+8+27)
Add the numbers from left to right.
\displaystyle 1+8=9+27=361+8=9+27=36
\displaystyle 3*36=1083∗36=108
The final thing you do is divide numbers from left to right to find the answer.
\displaystyle 108\div2=54108÷2=54
54, which is our answer.