Question

(2^4*2^6*2^3) : 2^5*2^7

Answer 1

Ответ:

Объяснение:

$\frac{2^4*2^6*2^3}{2^5*2^7}=\frac{2^{4+6+3}}{2^{5+7}}=\frac{2^{13}}{2^{12}}=2$

Answer 2

To simplify the expression (2^4 * 2^6 * 2^3) / (2^5 * 2^7), you can apply the laws of exponents. When you divide two exponential expressions with the same base, you subtract their exponents. Using this rule, we can simplify the expression as follows:

(2^4 * 2^6 * 2^3) / (2^5 * 2^7)

First, let's simplify the numerator:

2^4 * 2^6 * 2^3 = 2^(4 + 6 + 3) = 2^13

Now, let's simplify the denominator:

2^5 * 2^7 = 2^(5 + 7) = 2^12

Finally, divide the numerator by the denominator:

(2^13) / (2^12) = 2^(13 - 12) = 2^1 = 2

Therefore, (2^4 * 2^6 * 2^3) / (2^5 * 2^7) simplifies to 2.