Question

(0,4)^3 * (0,4)^6 : (0,4)^7

Answer 1

Ответ:

0,16.

Объяснение:

(0,4)^3 * (0,4)^6 : (0,4)^7 = (0,4)^(3 + 6 - 7) = (0,4)^2 = 0,16.

При упрощении использованы формулы:

а^m • а^n = а^(m+n);

а^m : а^n = а^(m-n);

Answer 2

По формуле : а^b×a^n = a^(b+n)

(0.4)³×(0.4)⁶÷(0.4)⁷= (0.4)^(3+6-7) = (0.4)² = 0.16

Answer 3

The expression (0,4)^3 * (0,4)^6 / (0,4)^7 represents a mathematical operation involving sets or intervals.

In this context, (0,4) represents an open interval from 0 to 4, meaning all real numbers greater than 0 and less than 4. When you raise an interval to a power, you are essentially multiplying it by itself that many times.

So, let's break it down:

(0,4)^3 represents (0,4) * (0,4) * (0,4), which is the product of the open interval (0,4) repeated three times.

(0,4)^6 represents (0,4) * (0,4) * (0,4) * (0,4) * (0,4) * (0,4), which is the product of the open interval (0,4) repeated six times.

(0,4)^7 represents (0,4) * (0,4) * (0,4) * (0,4) * (0,4) * (0,4) * (0,4), which is the product of the open interval (0,4) repeated seven times.

To simplify the expression:

(0,4)^3 * (0,4)^6 / (0,4)^7 = (0,4)^(3 + 6 - 7) = (0,4)^2.

So, (0,4)^3 * (0,4)^6 / (0,4)^7 simplifies to (0,4)^2, which represents the open interval from 0 to 4 raised to the power of 2, resulting in the interval (0,16).