Evaluate: 6^{-3} * ((1)/(3))^{-3}

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  3. Evaluate: 6^{-3} * ((1)/(3))^{-3}

Expression: ${6}^{-3} \times {\left( \frac{ 1 }{ 3 } \right)}^{-3}$

Multiply the terms with equal exponents by multiplying their bases

${\left( 6 \times \frac{ 1 }{ 3 } \right)}^{-3}$

Cancel out the greatest common factor $3$

${2}^{-3}$

Express with a positive exponent using ${a}^{-n}=\frac{ 1 }{ {a}^{n} }$

$\frac{ 1 }{ {2}^{3} }$

Evaluate the power

$\begin{align*}&\frac{ 1 }{ 8 } \\&\begin{array} { l }0.125,& {2}^{-3}\end{array}\end{align*}$

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