Question

(4b)^3:b^9•b^5 при b=128

Answer 1

Кажеться так... надо перепроаерить

Answer 2

To simplify the expression and find the value when b = 128, we need to perform the calculations step by step.

The expression is: (4b)^3 / (b^9 * b^5)

Step 1: Substitute b with 128

(4 * 128)^3 / (128^9 * 128^5)

Step 2: Simplify the terms inside the parentheses

(512)^3 / (128^(9+5))

Step 3: Perform the calculations

512^3 = 512 * 512 * 512 = 134,217,728

128^(9+5) = 128^14

Step 4: Divide

134,217,728 / 128^14

Step 5: Evaluate 128^14

Now, calculating 128 raised to the power of 14 is a large number, so let's approximate it using scientific notation.

128^14 ≈ 4.81460398 × 10^32

Step 6: Divide

134,217,728 / (4.81460398 × 10^32)

Step 7: Evaluate the division

134,217,728 / 4.81460398 × 10^32 ≈ 2.78625551 × 10^-20

Therefore, when b = 128, the value of the expression (4b)^3 / (b^9 * b^5) is approximately 2.78625551 × 10^-20.