Question

А)25mn²p⁶q(-5)m³npqб)(mnpq)²*(m⁴n²p⁷q³)³​

Answer 1

Пошаговое объяснение:

a)20m^4 n^3 p^7 q^2

b)m^14 n^8 p^23 q^11

Answer 2

Let's simplify the given expressions step by step.

A) 25mn²p⁶q(-5)m³npq

First, let's distribute the constants and simplify the variables:

$25mn^2p^6q(-5)m^3npq = -125m^4n^3p^7q^2$

B) (mnpq)² * (m⁴n²p⁷q³)³

To simplify this expression, we need to multiply the exponents for each variable (m, n, p, q) and square the result:

$(mnpq)^2 = m^2n^2p^2q^2$ $(m^4n^2p^7q^3)^3 = m^{12}n^6p^{21}q^9$

Now, we'll multiply the two simplified expressions:

$(m^2n^2p^2q^2) \times (m^{12}n^6p^{21}q^9)$

Multiplying the exponents for each variable:

$m^{2+12}n^{2+6}p^{2+21}q^{2+9}$

$= m^{14}n^8p^{23}q^{11}$

So, the simplified expression is:

$(mnpq)^2 * (m^4n^2p^7q^3)^3 = m^{14}n^8p^{23}q^{11}$