Question

Simplify and find the value of (3⁶x3⁻⁸)⁴ x 3⁻⁴

Answer 1

Answer:

(3⁶x3⁻⁸)⁴ x 3⁻⁴

STEP_1 : Bases are same (i.e. 3) so we add powers

= (3⁶⁻⁸)⁴× 3⁻⁴

= (3²)⁴3⁻⁴

STEP_2 : Here we multiply powers

=  3²*⁴×3⁻⁴      (* is multiplication symbol)

= 3⁸×3⁻⁴

STEP_3 : Bases are same (i.e. 3) so we add powers

= 3⁸⁻⁴

= 3⁴

= 81

Hence, the required answer is 81.