Answer:
so the final answer is
-6yzx^2 y^2 - 20m^3 n^4 k^2
Step-by-step explanation:
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step 1: take out the constants
(1.5 × -4) xxy^2yz - 4mnk × 5m^2 n^3 k
step 2: simplify 1.5 × -4 to -6
-6xxy^2yz - 4mnk × 5m^2 n^3 k
step 3: use product rule x^a x^b = x^a+b
-6x^2y^2yz - 4mnk × 5m^2n^3 k
step 4: regroup terms
-6yzx^2y^2 -4mnk × 5m^2 n^3 k
step 5: take out the constants
-6yzx^2y^2 - (4×5)mm^2 nn^3 kk
step 6: simplify 4×5 to 20
-6yzx^2y^2 - 20mm^2 nn^3 kk
step 7: use product rule x^a x^b = x^a+b
-6yzx^2 y^2 - 20m^1+2 n^1+3 k^1+1
step 8: simplify 1+2 to 3
-6yzx^2y^2 - 20m^3 n^1+3 k^1+1
step 9: simplify 1+3 to 4
-6yzx^2y^2 - 20m^3 n^4 k^1+1
step 10: simplify 1+1 to 2
-6yzx^2 y^2 - 20m^3 n^4 k^2