Question

simplify 25×5²×t⁸÷ 10³×t⁴​

Answer 1

Step-by-step explanation:

$(25 \times 5 {}^{2} \times {t}^{8} ) \div ( {10}^{3} \times {t}^{4)} \\ = ( {5}^{4} \div {5}^{3} \times {2}^{3} ) \times ( {t}^{8} \div {t}^{4} ) \\ = ( {5}^{4 - 3} \div {2}^{3} ) \times ( {t}^{8 - 4} ) \\ = (5 \div 8) \times {t}^{4 } \\ = 5 {t}^{4 } \div 8$

Answer 2

Answer:

Step-by-step explanation:

\begin{gathered}(25 \times 5 {}^{2} \times {t}^{8} ) \div ( {10}^{3} \times {t}^{4)} \\ = ( {5}^{4} \div {5}^{3} \times {2}^{3} ) \times ( {t}^{8} \div {t}^{4} ) \\ = ( {5}^{4 - 3} \div {2}^{3} ) \times ( {t}^{8 - 4} ) \\ = (5 \div 8) \times {t}^{4 } \\ = 5 {t}^{4 } \div 8\end{gathered}

(25×5

2

×t

8

)÷(10

3

×t 4)

=(5 4 ÷5

3 ×23 )×(t8 ÷t 4 )

=(5 4−3 ÷2

3 )×(t 8−4 )

=(5÷8)×4

=5t 4÷8