Question

49 в 4 степени •7 в 5 степени ——————————— ===? 7 в 12 степени

Answer 1

$\frac{49^{4}*7^{5}}{7^{12} } = \frac{7^{8}*7^{5}}{7^{12}}} = 7^{8+5-12} = 7$

Answer 2

To simplify the expression, let's break it down step by step:

1. Calculate 49 to the power of 4: 49^4 = 49 * 49 * 49 * 49 = 5764801

2. Calculate 7 to the power of 5: 7^5 = 7 * 7 * 7 * 7 * 7 = 16807

3. Divide the result of step 1 by the result of step 2: 5764801 / 16807 ≈ 342.989224

4. Finally, calculate 7 to the power of 12: 7^12 = 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 * 7 = 13841287201

So, the simplified expression is approximately:

342.989224 ≈ 7^12 = 13841287201