Question

3²*4³*12²-------------9²*6³​

Answer 1

3²*4³*12²=

3²=3*3=9

4²=4*4=16

12²=12*12=144

9*16*144=7776

9²=9*9=81

6³=6*6*6=18*6=108

108*81=8748

Answer 2

Let's simplify the expression step by step:

1. Calculate the exponents:

   • $3^2 = 9$
   • $4^3 = 64$
   • $12^2 = 144$
   • $9^2 = 81$
   • $6^3 = 216$

2. Substitute the calculated values into the expression: $\frac{9 \cdot 64 \cdot 144}{81 \cdot 216}$

3. Reduce the fractions:

   • Divide both the numerator and denominator by 9: $\frac{9 \cdot 64 \cdot 16}{9 \cdot 24}$

4. Further simplify by canceling out common factors:

   • Divide both the numerator and denominator by 9: $64 \cdot 16 / 24$

5. Calculate the remaining expression:

   • $64 \cdot 16 / 24 = 1024 / 24$

6. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8: $\frac{1024}{24} = \frac{128}{3}$

So, the simplified result of the expression $3^2 \cdot 4^3 \cdot 12^2 / 9^2 \cdot 6^3$ is $\frac{128}{3}$.