Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex]\frac{3^3}{3^-^4}[/tex]
When attempting to solve this, we have to consider the exponent rule of fractional exponents:
[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]
Therefore, our initial problem would become:
[tex]3^3^-^(^-^4^)\\[/tex]
Two negatives become positive:
[tex]3^3^+^4[/tex]
Add:
[tex]3^7[/tex]
[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]
[tex]= 2187[/tex]
