Answer
a. $7$
b. $ 2$
c. $\frac{x^{18}}{4y^{12}} $
d. $ - b^{11}$
Work Step by Step
a. $2^3 - 2^0 = 8 - 1 = 7$
b. $(y^0)^7 + (5^0)^3 = 1^7 + 1^3 = 2$
c. $(\frac{7x^9}{14y^6})^2 = \frac{7^2x^{18}}{14^2y^{12}} = \frac{49x^{18}}{196y^{12}} =\frac{x^{18}}{4y^{12}} $
d. $\frac{(3a^2b^5)^3}{-27a^6b^4} = \frac{27a^6b^{15}}{-27a^6b^4} = \frac{b^{11}}{-1} = - b^{11}$