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Please help me simplify the following equation: √(135bc²d³) times √(5b²d)
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\[135^{\frac{ 1 }{ 2 }}b^{\frac{ 1 }{ 2 }}c^{\frac{ 1 }{ 2 }\times2}d^{\frac{ 1 }{ 2 }\times3}\times5^{\frac{ 1 }{ 2 }}b^{\frac{ 1 }{ 2 }\times2}d^{\frac{ 1 }{ 2 }}\]
\[135^{\frac{ 1 }{ 2 }}b ^{\frac{ 1 }{ 2 }}c^1d ^{\frac{ 3 }{ 2 }}\times5^{\frac{ 1 }{ 2 }}b^1d ^{\frac{ 1 }{ 2 }}\]
\[(135\times5)^{\frac{ 1 }{ 2 }}b ^{\frac{ 1 }{ 2 }+1}c ^1d ^{\frac{ 3 }{ 2 }+\frac{ 1 }{ 2 }}\]
\[675^{\frac{ 1 }{ 2 }}b ^{\frac{ 3 }{ 2 }}c^1d^2\]
\[\sqrt{}=\frac{ 1 }{ 2 }\]
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i convert the square root into exponent
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