So here it says using the methods discussed above determine the answer for the following mixed operations question. So we have a combination of multiplication and division occurring in this question. So when it comes to the coefficients, here are our coefficients. We're multiplying those coefficients together here. When we do, that gives us 11.8454.
And then here the X bones, when they're multiplying, would be adding together, so that'd be 8 + -1, which gives me A7. But then you're dividing 10 to the seven by 10 to the 11. Remember, when you're dividing, it really means you're subtracting. So that give us -4. Our answer here is not written correctly. Your coefficient has to be a number between 1:00 and 10:00. So again, I'm going to move this decimal over one to give us 1.18454.
We just made that coefficient smaller, which means our power is going to become larger. So instead of being -4 now it's going to be -3. And remember, we got our answer here, but it's not the best answer. When we're multiplying or dividing the coefficients, it's the least number of significant figures. So here, this one has three sick figs, this one here also has three sig figs, and then finally this one also has three sig figs.
So our answer at the end has to have three significant figures, so it'd be 1.18 * 10 to the -3 as my final answer.