Fully simplify and write your answer in exponential form words with positive exponents only. Example: 1/5^3 not 5^-3
2^-9 x 2 x 2^-7
To simplify and write the expression with positive exponents only, we can first rewrite 2^-9 as (1/2^9).
Therefore, the expression becomes:
(1/2^9) × 2 × (1/2^7)
To multiply these factors, we add the exponents when multiplying the same base. We can rewrite this expression as:
(1/2^(9+7)) × 2
Simplifying the exponent, we have:
(1/2^16) × 2
Multiplying these terms, we get:
1/(2^16) × 2
Finally, we simplify this expression to obtain the result:
2/(2^16)
Therefore, the fully simplified expression written in exponential form with positive exponents is:
2/(2^16)