Question

А) (a²b)²·(ab²)³ б) (x³y)³·(xy²)³ в) ( (- m²n)²·(4mn³)² г) (yz)²·(2yz)³·0,5z д) ((0,1a⁴b)²)³ е) -0.01c³(-10ac²)²

Answer 1

$1)\; \; (a^2b)^2\cdot (ab^2)^3=a^4b^2\cdot a^3b^6=a^7b^8\\\\2)\; \; (x^3y)^3\cdot (xy^2)^3=x^9y^3\cdot x^3y^6=x^{12}y^9\\\\3)\; \; (- \frac{1}{2} m^2n)^2\cdot (4mn^3)^2= \frac{1}{4}\cdot m^3n^2\cdot 16m^2n^6=4m^5n^8\\\\4)\; \; (yz)^2\cdot (2yz)^3\cdot 0,5z=y^2z^2\cdot 8y^3z^3\cdot 0,5z=4y^5z^6\\\\5)\; \; ((0,1a^4b)^2)^3=(0,01a^8b^2)^3=0,000001\cdot a^{24}b^6\\\\6)\; \; -0,01c^3\cdot (-10ac^2)^2=-0,01c^3\cdot 100a^2c^4=-a^2c^7$