Question

Simplify:
25 x 5² x t⁸÷
10³ x t²​

Answer 1

Answer:

(25 × 25 ×t⁸)/10³ ×.t²

(625 ×t⁸)/ 10³ ×t²

0.625 × t⁶

Answer 2

$\frac{25 \times {5}^{2} \times {t}^{8} }{ {10}^{3} \times {t}^{2} } \\ = \frac{ {5}^{2} \times {5}^{2} \times {t}^{8} }{ {(5 \times 2)}^{3} \times {t}^{2} } \\ = \frac{ {5}^{2} \times {5}^{2} \times {t}^{8} }{ {5}^{3} \times {2}^{3} \times {t}^{2} } \\ = \frac{ {(5)}^{2 + 2} \times {t}^{8} }{ {5}^{3} \times {2}^{3} \times {t}^{2} } \\ = \frac{ {5}^{4} \times {t}^{8} }{ {5}^{3} \times {2}^{3} \times {t}^{2} } \\ = \frac{ {(5)}^{4 - 3} \times {(t)}^{8 - 2} }{ {2}^{3} } \\ = \frac{ {5}^{1} \times {t}^{6} }{ {2}^{3} } \\= \frac{5 \times {t}^{6}}{8}$