(4.0 times 10 to the power of 7) (7.0 times 10 to the power of 4)
You asked:
Evaluate the expression: \(4.0 \cdot {10}^{7} \cdot 7.0 \cdot {10}^{4}\)
MathBot Answer:
\[4.0 \cdot {10}^{7} \cdot 7.0 \cdot {10}^{4} = 2800000000000\]
\[\begin{aligned}4.0 \cdot {10}^{7} \cdot 7.0 \cdot {10}^{4}& = 4 \cdot 10^{7} \cdot 7 \cdot 10^{4}\\& = 4 \cdot 10000000 \cdot 7 \cdot 10^{4}\\& = 4 \cdot 10000000 \cdot 7 \cdot 10000\\& = 40000000 \cdot 7 \cdot 10000\\& = 280000000 \cdot 10000\\& = 2800000000000\end{aligned}\]