4÷10²×27+9⁷-2×8⁹
You asked:
Evaluate the expression: \(\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}\)
MathBot Answer:
\[\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9} = - \frac{6591312148}{25} = -263652485.92\]
\[\begin{aligned}\frac{4}{{10}^{2}} \cdot 27 + {9}^{7} - 2 \cdot {8}^{9}& = 4 \cdot \frac{1}{10^{2}} \cdot 27 + 9^{7} - 2 \cdot 8^{9}\\& = \frac{4}{100} \cdot 27 + 9^{7} - 2 \cdot 8^{9}\\& = \frac{27}{25} + 9^{7} - 2 \cdot 8^{9}\\& = \frac{27}{25} + 4782969 - 2 \cdot 8^{9}\\& = \frac{27}{25} + 4782969 - 2 \cdot 134217728\\& = \frac{27}{25} + 4782969 - 268435456\\& = \frac{119574252}{25} - 268435456\\& = - \frac{6591312148}{25}\end{aligned}\]