Question

27ᵃ=81 find a

2ᵃ=1/16⁻¹ find a

3²ⁿ=243 find n

10²ᵇ=10000 find b

b=8ᵇ⁻¹/² find b

Answer 1

2^4=16, a=4, 10^2*2=10000, b=2

Answer 2

Hey frnd here is ur ans

${27}^{a} = 81 \\ { {(3}^{3} )}^{a} = {3}^{4} \\ {3}^{3a} = {3}^{4} \\3a = 4 \\ a = \frac{4}{3}$
${2}^{a} = \frac{1}{ {16}^{ - 1} } \\ {2}^{a} = 16 \\ {2}^{a} = {2}^{4} \\ a = 4$
${3}^{2n} = 243 \\ {3}^{2n} = {3}^{5} \\ 2n = 5 \\ n = \frac{5}{2} \\ n = 2.5$
${10}^{2 b } = 10000 \\ {10}^{2b} = {10}^{4} \\ 2b = 4 \\ b = 2$
Hope it helps u

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