Algebra Intro Learn It now
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Start with the furthest nested parentheses. By nested, I mean the one that's furthest inside any other set of parentheses. To clarify, here is an example of the letter x inside the inner set of parentheses in an equation: (y(x)y)(y)=1.
So the innermost parentheses is the starting point as displayed in this image of the equation you just read.
Within these parentheses are three numbers and two operetors between them. Since multiply precedes addition or subtraction, then we start with 5 x 2, which equals = 10. In our case it's negstive ten because of the minus sign. We then add two +2 to the -10 to equal = -8. Next is the exponent.
Since the exponent is to the power of two, we multiply -8 x -8, which equals +64; because in math, two negatives produce a positive. So now we have 10 - 2 squared and the next section is actually two equally valued operators on either side of the parentheses we just solved to be 64. That brings us to this next image where two more operators are displayed.
So that adds four and subtracts three from our product of 64 now a negative number because of the minus sign operator outside the parentheses, which we already know addition and subtraction are preceded by exponent, so the minus outside the parentheses comes after 64 is produced as a square. Adding a total of one (four minus three) to -64 brings us up one to -63, which is a higher number than -64. Imagine you have $64. Is losing $64 more of a loss than losing $63? Then -63 is greater than ('>') -64. As we continue to zoom out, we see the outer parentheses we worked our way out of sits atop a fraction of negative three.
Since two negatives make a positive, -61 x -3 = Lucky 21.