Question
\( ( 2 \times 10 ^ { 16 } ) + ( 7 \times 10 ^ { 16 } ) = ? \times 10 ^ { ? } \)
Ask by Mills Jimenez. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\(9 \times 10^{16}\)
Solution
1. Factor out \(10^{16}\) from both terms:
\[
2 \times 10^{16} + 7 \times 10^{16} = (2 + 7) \times 10^{16}
\]
2. Simplify the sum inside the parentheses:
\[
2 + 7 = 9
\]
3. Write the final result:
\[
9 \times 10^{16}
\]
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The Deep Dive
When you add \( ( 2 \times 10 ^ { 16 } ) + ( 7 \times 10 ^ { 16 } ) \), you're essentially combining the coefficients of the same power of ten. So, \( 2 + 7 = 9 \). Therefore, the expression can be rewritten as \( 9 \times 10^{16} \). The answer is \( 9 \times 10^{16} \).