Simplify: (2a^(4)b)^(2)

Apply power rule to coefficient: First, we apply the power of a power rule to the numerical coefficient 2. We have (2)^2, which equals 4.Apply power rule to variable a: Next, we apply the power of a power rule to the variable a with its exponent. We have (a^(4))^2, which equals a^(4*2) = a^(8).Apply power rule to variable b: Finally, we apply the power of a power rule to the variable b with its implied exponent of 1. We have (b)^2, which equals b^(1*2) = b^(2).Combine simplified parts: Combining all the simplified parts, we get the final simplified expression: 4a^(8)b^(2).

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Simplify: $\left(2 a^{4} b\right)^{2}$

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Calculus

Find derivatives of using multiple formulae

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Q. Simplify:

\left(2 a^{4} b\right)^{2}

Apply power rule to coefficient: First, we apply the power of a power rule to the numerical coefficient $2$ . We have $(2)^2$ , which equals $4$ .
Apply power rule to variable $a$ : Next, we apply the power of a power rule to the variable $a$ with its exponent. We have $(a^{4})^{2}$ , which equals $a^{4\times2} = a^{8}$ .
Apply power rule to variable $\newline$ $b$ : Finally, we apply the power of a power rule to the variable $\newline$ $b$ with its implied exponent of $\newline$ $1$ . We have $\newline$ $(b)^2$ , which equals $\newline$ $b^{(1*2)} = b^{2}$ .
Combine simplified parts: Combining all the simplified parts, we get the final simplified expression: $4a^{8}b^{2}$ .