Question
Rewrite each of the following in the form of a single exponential. \( \begin{array}{lll}\text { (a) } 6^{6} \cdot 4^{6} & \text { (b) } x^{6} \cdot x^{7} & \text { (c) }\left(p^{5}\right)^{3}\end{array} \) (a) \( 6^{6} \cdot 4^{6}=\square \) (Type your answer using exponential notation.)
Ask by Wade Nguyen. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) \( 24^{6} \)
(b) \( x^{13} \)
(c) \( p^{15} \)
Solution
(a) 6⁶ · 4⁶ = (6 · 4)⁶ = 24⁶
(b) x⁶ · x⁷ = x^(6+7) = x¹³
(c) (p⁵)³ = p^(5·3) = p¹⁵
Answered by UpStudy AI and reviewed by a Professional Tutor
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Extra Insights
(a) \( 6^{6} \cdot 4^{6} = (6 \cdot 4)^{6} = 24^{6} \) (b) \( x^{6} \cdot x^{7} = x^{6+7} = x^{13} \) (c) \( \left(p^{5}\right)^{3} = p^{5 \cdot 3} = p^{15} \)