Question

15-18, use the properties of the exponents to write an equivalent expression for each given expression.

Answer 1

15.

$( {4}^{4} ) {}^{3}$

$= {4}^{4 \times 3}$

$= {4}^{12}$

$= 16777216$

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16.

$\frac{ {3}^{12} }{ {3}^{3} }$

$= {3}^{12 - 3}$

$= {3}^{9}$

$= 19683$

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17.

${4}^{5} \times {4}^{2}$

$= {4}^{(5 + 2)}$

$= {4}^{7}$

$= 16384$

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18.

${6}^{4} \times {2}^{4}$

$= ({6 \times 2})^{4}$

$= {12}^{4}$

$= 20736$