Question

(3*10^2)^3*(2*10^-5)= с решением

Answer 1

Ответ: 540

Пошаговое объяснение:

$(3*10^{2})^{3}*(2*10^{-5})=3^{3}*10^{2*3} *2*10^{-5}=27*10^{6}*2*10^{-5}=27*2*10^{1}=540$

Answer 2

Let's solve the expression step by step:

Step 1: Simplify the exponentials inside the parentheses. (3 * 10^2)^3 = (3^3) * (10^(2*3)) = 27 * 10^6

Step 2: Simplify the exponential outside the parentheses. (2 * 10^-5) = 2 * (10^-5)

Step 3: Multiply the two simplified expressions. (27 * 10^6) * (2 * 10^-5)

Step 4: Multiply the numerical parts: 27 * 2 = 54

Step 5: Add the exponents of 10: 10^6 * 10^-5 = 10^(6-5) = 10^1 = 10

Step 6: Combine the numerical part and the exponential part: 54 * 10

The result is: 540

Therefore, (310^2)^3 * (210^-5) = 540