Compute:
(2−9÷2−11)3(2^{-9} ÷ 2^{-11})^3(2−9÷2−11)3
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According to quotient property,
am÷an=am−na^m ÷ a^n = a^{m - n}am÷an=am−n
(2−9÷2−11)3=(2−9−(−11))3=(2−9+11)3=(22)3=(2)2×3=26=2×2×2×2×2×2=64(2^{-9} ÷ 2^{-11})^3\\[1em] = (2^{-9 - (-11)})^3\\[1em] = (2^{-9 + 11})^3\\[1em] = (2^{2})^3\\[1em] = (2)^{2\times3}\\[1em] = 2^{6}\\[1em] = 2 \times 2 \times 2 \times 2 \times 2 \times 2\\[1em] = 64(2−9÷2−11)3=(2−9−(−11))3=(2−9+11)3=(22)3=(2)2×3=26=2×2×2×2×2×2=64
Hence, (2−9÷2−11)3=64(2^{-9} ÷ 2^{-11})^3 = 64(2−9÷2−11)3=64
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