Question
\begin{tabular}{l} Simplify the expression. Write the answer as a power. \\ \( \left(10^{3}\right)^{4} \) \\ \begin{tabular}{l} 4(10 \( ) \) \\ \hline \( 10^{7} \) \\ \hline \( 30^{4} \) \\ \end{tabular} \\ \hline\end{tabular}
Ask by Little Colon. in Spain
Feb 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \(10^{12}\).
Solution
Calculate or simplify the expression \( (10^3)^4 \).
Calculate the value by following steps:
- step0: Calculate:
\(\left(10^{3}\right)^{4}\)
- step1: Multiply the exponents:
\(10^{3\times 4}\)
- step2: Multiply the numbers:
\(10^{12}\)
The simplified expression is \(10^{12}\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To simplify \( \left(10^{3}\right)^{4} \), you can use the power of a power property, which states that \( (a^{m})^{n} = a^{m \cdot n} \). Here, \( a = 10 \), \( m = 3 \), and \( n = 4 \). So, \( \left(10^{3}\right)^{4} = 10^{3 \cdot 4} = 10^{12} \). Thus, the simplified expression is \( 10^{12} \).
