Question

Which equation shows equivalent forms of the expression 21 x 2-4 ?

2^1 ×2^−4 =2^−4=−8

2^1 ×2^−4 =2^−4=1/2^4=18

2^1 ×2^−4 =2^−3=1/2^3=18

2^1 ×2^−4 =2^−3=−8

Answer 1

`2^1*2^(-4)=2^(1-4)=2^(-3)=(1)/(2^3)=(1)/(8)`

Used:

`a^n\cdot a^m=a^(n+m)\\\\a^(-n)=(1)/(a^n)`

Answer: 2^1 × 2^-4 = 2^-3 = 1/2^3 = 1/8