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Find the cube of the number \(-\frac{13}{15}\).

Answer :

Answer:

[tex] = \frac{ - 2197}{3375} [/tex]

Step-by-step explanation:

[tex]cube = {x}^{3} \\ (\frac{ - 13}{15}) ^{3} \\ \frac{ - 13}{15} \times \frac{ - 13}{15} \times \frac{ - 13}{15} \\ \\ = \frac{ - 2197}{3375} [/tex]

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Rewritten by : Barada

Answer:

[tex]-\frac{2197}{3375}\\\mathrm{Decimal:\quad }\:-0.65096[/tex]

Step-by-step explanation:

[tex]-\left(\frac{13}{15}\right)^3\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\left(\frac{13}{15}\right)^3=\frac{13^3}{15^3}\\=-\frac{13^3}{15^3}\\13^3=2197\\=-\frac{2197}{15^3}\\15^3=3375\\=-\frac{2197}{3375}[/tex]