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


15. (4⁴)³



16. 3¹²




17. 4⁵ • 4²



18. 6⁴ • 2⁴











please help!

Respuesta :

15.

[tex]( {4}^{4} ) {}^{3} [/tex]

[tex] = {4}^{4 \times 3} [/tex]

[tex] = {4}^{12} [/tex]

[tex] = 16777216[/tex]

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16.

[tex] \frac{ {3}^{12} }{ {3}^{3} } [/tex]

[tex] = {3}^{12 - 3} [/tex]

[tex] = {3}^{9} [/tex]

[tex] = 19683[/tex]

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17.

[tex] {4}^{5} \times {4}^{2} [/tex]

[tex] = {4}^{(5 + 2)} [/tex]

[tex] = {4}^{7} [/tex]

[tex] = 16384[/tex]

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18.

[tex] {6}^{4} \times {2}^{4} [/tex]

[tex] = ({6 \times 2})^{4} [/tex]

[tex] = {12}^{4} [/tex]

[tex] = 20736[/tex]