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Mathematics

Compute:

90×41÷249^0 \times 4^{-1} ÷ 2^{-4}

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Answer

90×41÷24=1×41÷24 [a0=1]=1×22÷24=1×22(4)=1×22+4=1×22=1×4=49^0 \times 4^{-1} ÷ 2^{-4}\\[1em] = 1 \times 4^{-1} ÷ 2^{-4} \space [∵a^0 = 1] \\[1em] = 1 \times 2^{-2} ÷ 2^{-4}\\[1em] = 1 \times 2^{-2-(-4)}\\[1em] = 1 \times 2^{-2+4}\\[1em] = 1 \times 2^{2}\\[1em] = 1 \times 4\\[1em] = 4

90×41÷24=49^0 \times 4^{-1} ÷ 2^{-4} = 4

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