Simplify the Nested Expression: ((b³)⁶)² Using Exponent Rules

((b3)6)2= ((b^3)^6)^2=

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1

Understand the problem

((b3)6)2= ((b^3)^6)^2=

2

Step-by-step solution

We use the formula

(am)n=am×n (a^m)^n=a^{m\times n}

Therefore, we obtain:

((b3)6)2=(b3×6)2=(b18)2=b18×2=b36 ((b^3)^6)^2=(b^{3\times6})^2=(b^{18})^2=b^{18\times2}=b^{36}

3

Final Answer

b36 b^{36}

Practice Quiz

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Insert the corresponding expression:

\( \left(10^3\right)^3= \)

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