Question

Directions:Simplify the following monomials.SHOW ALL STEPS!

Answer 1

Answer:

13: $\frac{m^6}{2}$

14: $\frac{a^4b^2}{4}$

15: $\frac{27x^5y}{4}$

16: $\frac{4x^1^2}{9}$

17: $\frac{8y^9}{27}$

18: $\frac{x^4y^2}{4}$

Step-by-step explanation:

13:

• $\frac{(-2m^4)^2}{8m^2}$  
• $\frac{(2m^4)^2}{8m^2}$
• $\frac{2^2(m^4)^2}{8m^2}$
• $\frac{m^6}{2}$

14:

• $\frac{(2a^3b^4)^3}{(2ab^2)^5}$
• $\frac{2^3(a^3)^3(b^4)^3}{2^5*a^5(b^2)^5}$
• $\frac{2^3 * a^3^*^3b^4^*^3}{2^5*a^5b^2^*^5}$
• $\frac{a^4b^2}{4}$

15:

• $\frac{(3x^5y^3)^5}{(6x^1^0y^7)^2}$
• $\frac{3^5(x^5)^5(y^3)^5}{6^2(x^1^0)^2(y^7)^2}$
• $\frac{3^5 * x^5^*^5y^3^*^5}{6^2 * x^1^0^*^2 y^7^*^2}$
• $\frac{27x^5y}{4}$

16:

• $(\frac{4x^7}{6x})^2$
• $(\frac{2*2x^7}{2*3x})^2$
• $(\frac{2x^7^-^1}{3})^2$
• $\frac{4x^1^2}{9}$

17:

• $(\frac{2y^5}{3y^2})^3$
• $(\frac{2y^5^-^2}{3})^3$
• $\frac{2^3(y^5^-^2)^3}{3^3}$

• $\frac{8y^9}{27}$

18:

• $(\frac{5x^6y^2}{10x^4y})^2$
• $(\frac{x^6^-^4y^2^-^1}{2})^2$
• $\frac{(x^6^-^4)^2(y^2-1)^2}{2^2}$
• $\frac{x^4y^2}{4}$