Question

2^3*(4*3^15-7*3^14)/3^16+5*3^15

Answer 1

Объяснение:

$\frac{2^3*(4*3^{15}-7*3^{14})}{3^{16}+5*3^{15}}=\frac{8*3^{14}*(4*13-7)}{3^{15}*(3+5)} =\frac{8*3^{14}*(52-7)}{8*3^{15}} =\frac{45}{3} =15.$

Answer 2

Ответ:

= 2³×(4×3-7)×3¹⁴/ (3+5)×3¹⁵=

2³×(12-7)/ 8×3

2³×5/2³+3=

5/3

Answer 3

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

1. Start by calculating the exponentiation: $2^3 = 8$ and $3^{15} = 14348907$.
2. Multiply $4$ by $3^{15}$ and $7$ by $3^{14}$ to get $4 \cdot 14348907$ and $7 \cdot 4782969$.
3. Calculate $3^{16} = 43046721$.
4. Perform the multiplications and subtractions inside the parentheses: $4 \cdot 14348907 - 7 \cdot 4782969 = 57395628 - 33480783 = 23914845$.
5. Divide the result from step 4 by $3^{16}$ to get $\frac{23914845}{43046721}$.
6. Multiply $5$ by $3^{15}$ to get $5 \cdot 14348907$.
7. Add the result from step 6 to the result from step 5: $\frac{23914845}{43046721} + 5 \cdot 14348907$.

Now, let's perform the calculations:

$$\frac{23914845}{43046721} + 5 \cdot 14348907 \approx 0.55619 + 71744535 \approx 71744535.55619.$$

So, the simplified value of the expression is approximately $71744535.55619$.