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7^2 × 7^8. 7^a------------ = -------- = 7^b7^4 7^4

2 Answers

3 votes

Answer: 10 and 6 for the next one its 2, 3, and 8

Step-by-step explanation: i hope this helps :)

User Talhature
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3 votes

We have to find the values of a and b:


(7^2\cdot7^8)/(7^4)=(7^a)/(7^4)=7^b

We can use the laws of exponents to write:


\begin{gathered} 7^2\cdot7^8=7^a \\ 7^(2+8)=7^a \\ 7^(10)=7^a \\ 10=a \end{gathered}

Then, we can solve for b as:


\begin{gathered} (7^a)/(7^4)=7^b \\ 7^(a-4)=7^b \\ a-4=b \\ 10-4=b \\ 6=b \end{gathered}

Answer: a=10 and b=6

User Abhijit K Rao
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4.6k points