Question
QUESTION \( 12 \cdot 2 \) POINTS Simplify: \( 4^{w} \cdot 4^{5} \)
Ask by Lee Phillips. in the United States
Nov 30,2024
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 4^{w + 5} \)
Solution
To simplify the expression \( 4^{w} \cdot 4^{5} \), we can use the property of exponents that states \( a^{m} \cdot a^{n} = a^{m+n} \).
Applying this property:
\[
4^{w} \cdot 4^{5} = 4^{w + 5}
\]
Thus, the simplified expression is:
\[
\boxed{4^{w + 5}}
\]
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Simplify this solution Beyond the Answer
When simplifying \( 4^{w} \cdot 4^{5} \), you can use the property of exponents that states when you multiply like bases, you add the exponents. This means you can rewrite the expression as \( 4^{w + 5} \). So the simplified form is \( 4^{w + 5} \)! If you're ever puzzled by exponents, remember that they’re like a power-up for numbers! Just add those exponents when they have the same base. It’s short and sweet, just like your new expression, \( 4^{w + 5} \). Get ready to tackle even trickier problems with your newfound knowledge!
