Final answer to the problem
$4096-\sqrt{3}$
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Step-by-step Solution
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- Prime Factor Decomposition
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1
Simplify $\sqrt{64^4}$ using the power of a power property: $\left(a^m\right)^n=a^{m\cdot n}$. In the expression, $m$ equals $4$ and $n$ equals $\frac{1}{2}$
Learn how to solve subtraction of radicals problems step by step online.
$64^{4\cdot \left(\frac{1}{2}\right)}-\sqrt{3}$
Learn how to solve subtraction of radicals problems step by step online. Simplify the subtraction of radicals 64^4^(1/2)-*3^(1/2). Simplify \sqrt{64^4} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 4 and n equals \frac{1}{2}. Multiply the fraction and term in 4\cdot \left(\frac{1}{2}\right). Divide 4 by 2. Calculate the power 64^{2}.
Final answer to the problem
$4096-\sqrt{3}$
Exact Numeric Answer
$4094.267949$
