Question

6^12 * 6^15 : 6^20 * 6^4

Answer 1

6^12*6^15 / 6^20*6^4=6^27/ 6^24=6^3=216. Ответ: 216. если правильно понял задание.

Answer 2

To simplify the expression, we can use the properties of exponents. When multiplying numbers with the same base, we can add their exponents. When dividing numbers with the same base, we can subtract their exponents. Let's apply this to the expression:

$\frac{6^{12} \cdot 6^{15}}{6^{20} \cdot 6^4}$

To divide, subtract the exponents:

$6^{12+15} \div 6^{20+4}$

Now, add the exponents:

$6^{27} \div 6^{24}$

To simplify further, subtract the exponents:

$6^{27-24}$

$6^3$

$\boxed{216}$