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I am not entirely sure what kind of equation you want to solve. Anyway, if an expression has an exponent of zero, the entire expression is usually equal to 1 (unless you raise zero to the power zero; that's undefined). Perhaps that can help you simplify the expression. For example: if you have an equation such as
(x+y+z)0 + 5x + 3 = 10
The entire left expression, (x+y+z)0 can be replaced with 1, thus simplifying the equation.
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Why do you equate the equation to zero?
Not all equations are equated to zero, but usually we set a function equal to zero if we want to find its x intercepts, or where the graph of the function crosses the x axis.
Why the properties using zero exponents and negative exponents specify that the bases be nonzero numbers?
Because the expressions are undefined for base = 0.
Can every number be written in scientific notation?
Yes, except for zero. Numbers larger than 1 have positive exponents, and numbers between 0 and 1 have negative exponents. Negative numbers would just have a '-' in front.
What are numbers called that are used in exponents?
The numbers called that are used in exponents can be called as a power of a number. The power or exponent can be positive , negative , zero .
Why cant equations of vertical lines be written in slope-intercept form but equations of horizontal lines can?
For vertical lines, when you try to figure out the slope, you get zero in the denominator - in other words, a division by zero.
