Question

using the laws of exponents, simplify ( 2/3)³  × ( 2/3)^-5​

Answer 1

Answer:

2^8/3^8 or (2/3)^8

Step-by-step explanation:

We can write (2/3)^3 as 2^3/3^3 and (2/3)^5 as 2^5/3^5

(2 ^3/3^3) x (2^5/3^5)

2^3 x 2^5/3^3 x 3^5

2^3+5/3^3+5              (by using a^m x a^n = a^m+n)

2^8/3^8

(2/3)^8 (using a^m/b^m = (a/b)^m)

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