I. Simplify the following expressions Show your solutions and box the final answer. 1. (x^4y^6)^2 2. (2a^4) (3a^4) 3. (4x^2yz^5)^3 4. (2a^2b^3)^2 5. (x^-1y^3)^-2
Answers & Comments
hotarugintsukasaanza
1. (x^4y^6)^2 = (x^4)^2(y^6)^2 = x^8y^12 Final Answer: x^8y^12
Answers & Comments
= (x^4)^2(y^6)^2
= x^8y^12
Final Answer: x^8y^12
2. (2a^4)(3a^4)
= 2 * 3a^4+4
= 2 * 3a^8
= 6a^8
Final Answer: 6a^8
3. (4x^2yz^5)^3
= 4^3(x^2)^3y^3(z^5)^3
= 64x^6y^3(z^5)^3
= 64x^6y^3z^15
Final Answer: 64x^6y^3z^15
4. (2a^2b^3)^2
= 2^2(a^2)^2(b^3)^2
= 4(a^2)^2(b^3)^2
= 4a^4b^6
Final Answer: 4a^4b^6
5. (x^-1y^3)^-2
= y^6/x^2
= x^2/y^6
Final Answer: x^2/y^6