[tex]\frac{8\cdot 100^{n}}{2^{2n+1} \cdot 5^{2n-2}}[/tex]
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8*100ⁿ______ = 8* 4 ⁿ *25 ⁿ = 8* 2 ² ⁿ * 5² ⁿ--= 8*2⁻¹ * 5² =8*1/2*25=200/2=1002² ⁿ⁺¹ *5² ⁿ⁻ ² 2² ⁿ⁺¹ * 5² ⁿ⁻ ² 2² ⁿ⁺¹ *5² ⁿ⁻ ²