Question

3m²n² (-0,4m³n²)³ хелп​

Answer 1

Відповідь:

-0,912m¹¹n⁸

Пояснення:

3m²n² (-0,4m³n²)³ = 3m²n² (-0,064m⁹n⁶)= -0,912m¹¹n⁸

Answer 2

To simplify the expression $3m^2n^2(-0.4m^3n^2)^3$, you can follow these steps:

Step 1: First, let's deal with the exponent outside the parentheses. Raise the entire expression inside the parentheses to the power of 3:

$(-0.4m^3n^2)^3 = -0.4^3 \cdot (m^3)^3 \cdot (n^2)^3$

Step 2: Simplify the constants and the exponents:

$(-0.4)^3 = -0.064$ (since $0.4^3 = 0.064$) $(m^3)^3 = m^{3 \cdot 3} = m^9$ $(n^2)^3 = n^{2 \cdot 3} = n^6$

Now, substitute these simplified values back into the expression:

$3m^2n^2 \cdot (-0.064) \cdot m^9n^6$

Step 3: Multiply the constants and combine the like terms with the same base (m and n):

$3 \cdot (-0.064) \cdot m^2 \cdot m^9 \cdot n^2 \cdot n^6$

$3 \cdot (-0.064) = -0.192$

$m^2 \cdot m^9 = m^{2+9} = m^{11}$

$n^2 \cdot n^6 = n^{2+6} = n^8$

Now, put it all together:

$-0.192m^{11}n^8$

So, the simplified expression is $-0.192m^{11}n^8$.