Question

Simplify7B3%7D%5E%7B9%7D%20%20%5Cdiv%20%7B27%7D%5E%7B9y%7D%20" id="TexFormula1" title=" {3}^{7y} \times {81}^{8y} \times {3}^{9} \div {27}^{9y} " alt=" {3}^{7y} \times {81}^{8y} \times {3}^{9} \div {27}^{9y} " align="absmiddle" class="latex-formula">
​

Answer 1

Answer

$3^{7y} * 81^{8y} * 3^9 * 27^{-9y} = 3^{7y} * (3^4)^{8y} * 3^9 *(3^3)^{-9y}$          

                                $=3^{7y} * (3)^{32y} * 3^9 *(3)^{-27y}\\\\=3^{7y +32y +9 -27y}\\\\=3^{12y+9}$

Tip :    

$\frac{1}{27^{9y}} = 27^{-9y} = (3^3)^{-9y} = 3^{-27y}$                          

Answer 2

Answer:

$3^{12y+9}$

Step-by-step explanation:

→ Convert all integers to base 3

$3^{7y} *3^{4*8y}*3^{9} /3^{3*9y}$

→ Simplify

$3^{7y}*3^{32y} *3^{9} /3^{27y}$

→ Collect all the like terms

$3^{12y+9}$