Step-by-step explanation:
[tex]\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2[/tex]
We need to Find:
[tex]\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} [/tex]
[tex]\sf \longmapsto 2 \times 2[/tex]
[tex]\sf \longmapsto \: x = 4[/tex]
[tex]\sf \longmapsto \: x {}^{3} [/tex]
[tex]\sf \longmapsto {4}^{3} [/tex]
[tex]\sf \longmapsto4 \times 4 \times 4[/tex]
[tex]\sf \longmapsto64 {}^{1} [/tex]
[tex]\boxed{\sf x^3≈64 {}^{}} [/tex]