4÷10²×27+9⁷-2×8⁹

asked by guest
on Jan 14, 2025 at 1:55 am



You asked:

Evaluate the expression: 4102⋅27+97−2⋅89\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}

MathBot Answer:

4102⋅27+97−2⋅89=−659131214825=−263652485.92\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9} = - \frac{6591312148}{25} = -263652485.92

4102⋅27+97−2⋅89=4100⋅27+97−2⋅89=125⋅27+97−2⋅89=2725+97−2⋅89=2725+4782969−2⋅89=11957425225−2⋅89=11957425225−2⋅134217728=11957425225−268435456=−659131214825\begin{aligned}\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}&=\frac{4}{100} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}\\&=\frac{1}{25} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}\\&=\frac{27}{25} + {9}^{7} - 2 \cdot {8}^{9}\\&=\frac{27}{25} + 4782969 - 2 \cdot {8}^{9}\\&=\frac{119574252}{25} - 2 \cdot {8}^{9}\\&=\frac{119574252}{25} - 2 \cdot 134217728\\&=\frac{119574252}{25} - 268435456\\&=\frac{-6591312148}{25}\end{aligned}

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