Question

(16)^0.16*(16)^0.04*(2)^0.2

Answer 1

required answer is 2.

2^4*0.16 +2^4*0.04 + 2^0.20

Answer 2

Step-by-step explanation:

Given that :

(16)^0.16 × (16)^0.04 × (2)^0.2

16 = 2×2×2×2 = 2^4

It can be written as

=> (2^4)^0.16 × (2^4)^0.04 × (2)^0.2

=> (2)^(4×0.16) × (2)^(4×0.04) × (2)^0.2

Since (a^m)^n = a^(mn)

=>(2)^0.64 × (2)^0.16 × (2)^0.2

=> 2^(0.64+0.16+0.2)

Since a^m × a^n = a^(m+n)

=> (2)^1.0

=> 2^1

=> 2

The value of (16)^0.16 × (16)^0.04 × (2)^0.2 is 2.