Question

2^16/8*2^10 Подробно !!!

Answer 1

8*2^10=2^3*2^10=2^13

2^16:2^13=2^3=8 при умножении степенями складывается а при делении вычитаем

Answer 2

To simplify the expression $2^{16} / 8 \times 2^{10}$, we need to perform the calculations step by step following the rules of exponents and order of operations (PEMDAS/BODMAS).

Step 1: Simplify the exponents individually

The expression contains two exponents, $2^{16}$ and $2^{10}$. Let's simplify each of them:

$2^{16} = 2 \times 2 \times 2 \times \ldots \times 2$ (16 times) $2^{16} = 65,536$ (the result of multiplying 2, sixteen times)

$2^{10} = 2 \times 2 \times 2 \times \ldots \times 2$ (10 times) $2^{10} = 1,024$ (the result of multiplying 2, ten times)

Step 2: Perform the division

Now, we divide $2^{16}$ by 8:

$2^{16} / 8 = 65,536 / 8 = 8,192$

Step 3: Perform the multiplication

Finally, we multiply the result from Step 2 by $2^{10}$:

$8,192 \times 2^{10} = 8,192 \times 1,024 = 8,388,608$

So, the result of the expression $2^{16} / 8 \times 2^{10}$ is $8,388,608$.