We have to simplify the expression [tex]\frac{(15-8)^{11}}{[(5+2)^4]2}[/tex]
First of all, we will solve the bracket part.
= [tex]\frac{(7)^{11}}{[(7)^4]2}[/tex]
By using the law of exponent, [tex]a^m \div a^n = a^{m-n}[/tex]
= [tex]\frac{(7)^{11-4}}{2}[/tex]
=[tex]\frac{(7)^{7}}{2}[/tex]
= [tex]\frac{823543}{2}[/tex]
= 411771.5
So, the simplification of the given expression is 411771.5
