Which choice is equivalent to the expression below ?

Question

2^6.38

Answer 1

The first choice is correct.

 

The rule is to add the exponents when powers of the

same base are multiplied.

 

2^6 * 2^(3/10) * 2^(8/100) = <---- the given expression of the first choice

 

2^6 * 2^(0.3) * 2^(0.08) = <--- changes the fractions to decimals

 

2^(6+0.3+0.08) = 2^6.38 <--- adds the exponents

 

The first choice is the answer