(25² a⁵ b²)³/(5⁵ a⁶ b)²=

− 1.716 → − 1000 1716 ​ ​

Answered by mariamikayla | 2024-06-10

-1.716 can be converted to a fraction by separating it into a whole number and decimal. The fraction is first expressed as − 1000 1716 ​ and can be simplified to − 250 429 ​ . Therefore, the final answer is − 250 429 ​ .
;

Answered by mariamikayla | 2024-12-26

[tex]\frac{{({25}^{2} {a}^{5} {b}^{2})}^{3}}{{({5}^{5} {a}^{6} b)}^{2}} = \frac{{({({5}^{2})}^{2} {a}^{5} {b}^{2})}^{3}}{{({5}^{5} {a}^{6} b)}^{2}} [/tex][tex]= \frac{{({5}^{2 \times 2} {a}^{5} {b}^{2})}^{3}}{{({5}^{5} {a}^{6} b)}^{2}} [/tex][tex]= \frac{{({5}^{4} {a}^{5} {b}^{2})}^{3}}{{({5}^{5} {a}^{6} b)}^{2}} [/tex][tex]= \frac{{5}^{4 \times 3} {a}^{5 \times 3} {b}^{2 \times 3}}{{5}^{5 \times 2} {a}^{6 \times 2} {b}^{1 \times 2}} [/tex][tex]= \frac{{5}^{12} {a}^{15} {b}^{6}}{{5}^{10} {a}^{12} {b}^{2}} [/tex][tex]= {5}^{12 - 10} {a}^{15 - 12} {b}^{6 - 2} [/tex][tex]= {5}^{2} {a}^{3} {b}^{4} [/tex][tex]= 25 {a}^{3} {b}^{4} [/tex]

Answered by MaulanaAlief | 2025-07-20