Question

Express 81^(-3) as a power with base 3.
( plz ans in method )​

Answer 1

Answer:

(3^4)^-3=(3)^-12

Step-by-step explanation:

factories 81

We get {(3)^4}^-3

(3)^4*(-3) = (3)^ -12

Answer 2

Method + Explanation

81^(-3)

81^(-3) = (3×3×3×3)^-3 ---Expressing 81 as a product of 3s

81^(-3) = (3×3×3×3)^-3 ---Expressing 81 as a product of 3s= (3⁴)^-3 ----Expressing 3 in an exponential form

81^(-3) = (3×3×3×3)^-3 ---Expressing 81 as a product of 3s= (3⁴)^-3 ----Expressing 3 in an exponential form= 3^-12 ----Making 3 as the Base and -12 as the exponent by multiplying 4×(-3)=-12 as (a^n)^m=a^mn

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