Question
\( 4^{3}.4.4^{2} \)
Ask by Medina Simpson. in Argentina
Mar 20,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( 4^{3} \cdot 4 \cdot 4^{2} = 4096 \)
Solution
Calculate the value by following steps:
- step0: Calculate:
\(4^{3}\times 4\times 4^{2}\)
- step1: Multiply the terms:
\(4^{3+1+2}\)
- step2: Add the numbers:
\(4^{6}\)
- step3: Evaluate the power:
\(4096\)
La expresión \( 4^{3} \cdot 4 \cdot 4^{2} \) se simplifica a \( 4096 \).
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Simplify this solution Mind Expander
Did you know that when multiplying powers with the same base, you can actually simplify them by adding the exponents? For your expression \( 4^{3} \cdot 4 \cdot 4^{2} \), you can rewrite \( 4 \) as \( 4^{1} \). So, \( 4^{3} \cdot 4^{1} \cdot 4^{2} = 4^{3+1+2} = 4^{6} \). Now, to solve \( 4^{6} \), simply calculate it as \( (2^2)^{6} = 2^{12} \), which equals \( 4096 \). There you have it—a fun math expression turned into a mighty number!
