Question

can anyone slove this​

Answer 1

Step-by-step explanation:

$\frac{9^{3}*27*t^{4} }{3^{2}*3^{4}*t^{2} }$

= $\frac{(3^{2})^{3}*3^{3} *t^{4} }{3^{2} *3^{4} *t^{2} }$                [∵ $(a^{x})^{y} = a^{xy}$]

= $\frac{3^{2*3}*3^{3} *t^{4} }{3^{2} *3^{4} *t^{2} }$  

= $\frac{3^{6}*3^{3} *t^{4} }{3^{2} *3^{4} *t^{2} }$  

= $\frac{3*3*3*3*3*3*3*3*3*t*t*t*t}{3*3*3*3*3*3*t*t}$

= 3 × 3 × 3 × t × t

= 27$t^{2}$ (Ans)