Question

(-1,5m^4n^3)^2 (-0,4p^7q^3)^3

Answer 1

Объяснение:

(-1,5m⁴n³)²=2,25m⁸n⁶

(-0,4p⁷q³)³=-0,064р²¹q⁹

Answer 2

To simplify the expression $(-1.5m^4n^3)^2(-0.4p^7q^3)^3$, you'll first raise each term within the parentheses to the indicated exponent and then multiply the results.

Let's simplify each part separately:

1. $(-1.5m^4n^3)^2$:

   • Square the constant: $(-1.5)^2 = 2.25$.
   • Square the variables: $m^{4 \cdot 2} = m^8$ and $n^{3 \cdot 2} = n^6$.
   • So, $(-1.5m^4n^3)^2 = 2.25m^8n^6$.

2. $(-0.4p^7q^3)^3$:

   • Cube the constant: $(-0.4)^3 = -0.064$.
   • Cube the variables: $p^{7 \cdot 3} = p^{21}$ and $q^{3 \cdot 3} = q^9$.
   • So, $(-0.4p^7q^3)^3 = -0.064p^{21}q^9$.

Now, multiply the two simplified expressions together:

$2.25m^8n^6 \cdot (-0.064p^{21}q^9)$

When you multiply these terms together, you simply multiply the constants and combine the like terms with the same variables:

$2.25 \cdot (-0.064) \cdot m^8 \cdot p^{21} \cdot n^6 \cdot q^9$

$= -0.144m^8p^{21}n^6q^9$

So, the simplified expression is $-0.144m^8p^{21}n^6q^9$.