Question

3a²c*(-2a³c²)³ упростите выражение

Answer 1

$3 {a}^{2} c \times ( - 2a^{3} c^{2} )^{3} = 3 {a}^{2} c \times ( - 8 {a}^{9} c^{6} ) = - \: 24a ^{11} c^{7} \\ \\ \\ otvet : - 24 {a}^{11} c^{7}$



Вот помогла!

Answer 2

To simplify the expression, we need to apply the rules of exponentiation and multiplication. Let's break down the steps:

Expression: 3a²c * (-2a³c²)³

Step 1: Deal with the exponent outside the parentheses. (-2a³c²)³ = (-2)³ * (a³)³ * (c²)³ = -8a⁹c⁶

Step 2: Substitute the result from Step 1 back into the original expression. 3a²c * (-2a³c²)³ = 3a²c * (-8a⁹c⁶)

Step 3: Multiply the coefficients (constants) and combine the variables with the same base. 3 * (-8) = -24 a² * a⁹ = a^(2+9) = a^11 c * c⁶ = c^(1+6) = c^7

So, the simplified expression is: -24a^11c^7