Question

(-2a^2b^3)^2*(-0.2a^3b)^3

Answer 1

(-2a²b³)²×(-0,2a³b)³=(4a^4*b^6)*(-0.008a^9*b^3)=-0,032a^13*b^9

Answer 2

To simplify the expression (-2a^2b^3)^2 * (-0.2a^3b)^3, you'll need to apply the rules of exponents. Let's break it down step by step:

Step 1: Simplify each term inside the parentheses first.

(-2a^2b^3)^2 = (-2)^2 * (a^2)^2 * (b^3)^2 = 4 * a^(22) * b^(32) = 4 * a^4 * b^6

(-0.2a^3b)^3 = (-0.2)^3 * (a^3)^3 * b^3 = -0.008 * a^(3*3) * b^3 = -0.008 * a^9 * b^3

Step 2: Now, multiply the two simplified expressions together:

(4 * a^4 * b^6) * (-0.008 * a^9 * b^3)

Step 3: Multiply the coefficients (numbers) together:

4 * (-0.008) = -0.032

Step 4: Add the exponents of 'a' together when multiplying with the same base:

a^4 * a^9 = a^(4+9) = a^13

Step 5: Add the exponents of 'b' together when multiplying with the same base:

b^6 * b^3 = b^(6+3) = b^9

Putting it all together:

-0.032 * a^13 * b^9

So, the simplified expression is -0.032a^13b^9.