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

Question

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

Video Solution

Solution Steps

00:00 Solve
00:02 When there is a power of a power, the common exponent is the multiplication of the exponents
00:05 And this is the solution to the question

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}

Answer

b36 b^{36}

More Questions

Related Subjects

Exponents and Exponent rules Rules of Exponentiation Combining Powers and Roots Properties of Exponents Power of a Power

Question Types

Power of a Power: Variable in the base of the power Applying Combined Exponents Rules: Single Variable Applying Combined Exponents Rules: Variable in the base of the power Applying Combined Exponents Rules: A power law