Calculate (2³)⁶: Solving Nested Power Expressions

$(2^3)^6 =$

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step written solution

Follow each step carefully to understand the complete solution

$(2^3)^6 =$

To solve the given expression $(2^3)^6$ , we apply the power of a power rule $(a^m)^n = a^{m \cdot n}$ . Here, $a = 2$ , $m = 3$ , and $n = 6$ .

Thus, we calculate the exponent:

$3 \cdot 6 = 18$

So, $(2^3)^6 = 2^{18}$ .

$2^{18}$

Test your knowledge with interactive questions

Get unlimited access to all 18 Mathematics questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime