Question

2O POINTS, PLEASE HELP!! Complete the equation. (4x)^-2 (4x)^3 (4x)^9 = 4x [ ]a0

Answer 1

Answer:

(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰

Step-by-step explanation:

(4x)¯² (4x)³ (4x)⁹

The above expression can be simplified as follow:

Recall:

When we have two or more index number with same base and a multiplication sign in between them, we easily simply by adding the index number together while keeping the base constant. This is illustrated below:

a^m x a^n = a^(m + n)

Therefore,

(4x)¯² (4x)³ (4x)⁹ = (4x)^(-2 + 3 +9)

(4x)¯² (4x)³ (4x)⁹ = (4x)¹⁰