Answer:
3³
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
[tex](a^{m}) ^{n}[/tex] = [tex]a^{mn}[/tex]
Given
27³ × [tex]3^{-6}[/tex]
Note that 27 = 3³ , thus
= (3³)³ × [tex]3^{-6}[/tex]
= [tex]3^{9}[/tex] × [tex]3^{-6}[/tex]
= [tex]3^{(9-6)}[/tex]
= 3³
