Please solve question 12 part 2

Please solve question 12 part 2 Fundamen tads o/ Mathem S. If aa x 0.0099 and b = 10-2 x 110. find the value of find the values ofa and b. g 2 and — = 3.1 [H i n t: xw2 x 1 If 2160 = 20 x x 5', find the values of a, b and c. Hence, calculate the value of 30 x IHint: 5' a b = 3 and c = I 81 13. Prove that [Hints: (i) LHS.=2i. 2. 2i xy R.H.s. 14. Solve x:

H i, \sqrt[x y]{\frac{a^{x}}{a^{y}}} \times \sqrt[y z]{\frac{a^{y}}{a^{z}}} \times \sqrt[x z]{\frac{a^{z}}{a^{x}}} = \sqrt[x y]{a^{x - y}} \times \sqrt[y z]{a^{y - z}} \times \sqrt[x z]{a^{z - x}} = {(a^{x - y})}^{\frac{1}{x y}} \times {(a^{y - z})}^{\frac{1}{y z}} \times {(a^{z - x})}^{\frac{1}{z x}} = a^{\frac{x - y}{x y}} \times a^{\frac{y - z}{y z}} \times a^{\frac{z - x}{z x}} = a^{\frac{1}{y} - \frac{1}{x}} \times a^{\frac{1}{z} - \frac{1}{y}} \times a^{\frac{1}{x} - \frac{1}{z}} = a^{\frac{1}{y} - \frac{1}{x} + \frac{1}{z} - \frac{1}{y} + \frac{1}{x} - \frac{1}{z}} = a^{0} = 1

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