Question

Simplify the following expression: (4x2)2 • (3x3)3

Answer 1

432x¹³

Explanation:

( 4x² ) ² • ( 3x³ ) ²

( 16x²)² • ( 27x³)²

`16 x{}^(2 * 2) * 6 {}^(3 * 3 ) \\ 16x {}^(4) *27 {}^(9)`

`(16 * 27)x {}^(4 + 9)`

432x¹³

Answer 2

432x^13

Explanation:

(4x^2)^2 • (3x^3)^3

We know that a^b^c = a^(b*c)

4^2 x^2^2 * 3^3 x^3^3

16 x^4 * 27 x^9

We know that a^b ^ a^c = a^(b+c)

16*27 x^(4+9)

432x^13