Answer:
729, 7, 100000000, 81000000, 1/4
Step-by-step explanation:
Question 1:
Remember that the viniculum represents subtraction with exponents!
In that case, we can simplify the expression 3^8 * 3^4/3^2 * 3^4:
3^6 = 729. So 729 is our answer.
Question 2:
Using this property, we can simplify to 7^1 or 7 as our answer.
Question 3:
Power to power means multiplacation. So (10^4)^2 is equivalent to 10^8 = 100000000.
Question 4:
Applying this property again gives 3^4 * 10^6. 10^6 * 81 = 81000000.
.
Question 5:
Applying the property used in question one, we can simplify to 2^-1 * 2^-1.
Since 2^-1 is equivalent to 1/2, we are multiplying 1/2 * 1/2. That equals our final answer of 1/4.
