Question

Simplify and express the result in exponential form [(2/3)³ x (2/3)²]⁴​

Answer 1

Step-by-step explanation:

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Answer 2

Given :  [(2/3)³ x (2/3)²]⁴​

To Find : Simplify

Solution:

[(2/3)³ x (2/3)²]⁴​

xᵃ . xᵇ = xᵃ⁺ᵇ

x = 2/3

a = 3

b = 3

= [(2/3)³⁺²]⁴​

= [(2/3)⁵]⁴​

(xᵃ)ᵇ = xᵃᵇ

x = 2/3

a = 5

b = 4

ab = 5 . 4 = 20

=   (2/3)²⁰

[(2/3)³ x (2/3)²]⁴ ​=   (2/3)²⁰

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