Compute:
(47)2×(4−3)4(4^7)^2 \times (4^{-3})^4(47)2×(4−3)4
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(47)2×(4−3)4=(4)7×2×[14]3×4=(4)14×[14]12=(4)14×(4)−12=(4)14−12=42=16(4^7)^2 \times (4^{-3})^4\\[1em] = (4)^{7 \times 2} \times \Big[\dfrac{1}{4}\Big]^{3 \times 4}\\[1em] = (4)^{14} \times \Big[\dfrac{1}{4}\Big]^{12}\\[1em] = (4)^{14} \times (4)^{-12}\\[1em] = (4)^{14-12} \\[1em] = 4^2 \\[1em] = 16(47)2×(4−3)4=(4)7×2×[41]3×4=(4)14×[41]12=(4)14×(4)−12=(4)14−12=42=16
Hence, (47)2×(4−3)4=16(4^7)^2 \times (4^{-3})^4 = 16(47)2×(4−3)4=16
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[17]−3×7−1×[149]\Big[\dfrac{1}{7}\Big]^{-3} \times 7^{-1} \times \Big[\dfrac{1}{49}\Big][71]−3×7−1×[491] is equal to:
-1
17\dfrac{1}{7}71
-7
1
18×30×53×221^8 \times 3^0 \times 5^3 \times 2^218×30×53×22
(2−9÷2−11)3(2^{-9} ÷ 2^{-11})^3(2−9÷2−11)3
[23]−4×[278]−2\Big[\dfrac{2}{3}\Big]^{-4} \times \Big[\dfrac{27}{8}\Big]^{-2}[32]−4×[827]−2
