Pengwuino said:Well, anything raised to the 0-th power is 1 so that simplifies that. I'm not entirely sure about your general question however. Are you looking for something that is simply expressed as positive exponents?
haengbon said:Homework Statement
9 - 9y-2
____________
y-1 - y0
this whole thing is then raised to 2 (I can't seem to format it that way:( )
Homework Equations
none
The Attempt at a Solution
I'm hoping someone would guide me through this :(
HallsofIvy said:[tex]\left(\frac{9- 9y^{-2}}{y^{-1}- y^{0}}\right)^2[/tex]
[tex]\left(9\frac{1- \frac{1}{y^2}}{\frac{1}{y}- 1}\right)^2[/tex]
Multiply both numerator and denominator by [itex]y^2[/itex].
A zero exponent is when a number is raised to the power of 0. The result of any number to the power of 0 is always 1. It is important to avoid zero exponents because it can lead to incorrect answers and confusion in mathematical calculations.
To express a number without using zero or negative exponents, you can use positive exponents or convert the number into a fraction. For example, instead of writing 50, you can write it as 51/1 or 5. This would give the same result of 1.
Simplifying expressions with exponents makes it easier to perform mathematical operations and understand the relationship between different numbers. It also helps to avoid mistakes and confusion while solving complex equations.
Some common mistakes people make when dealing with exponents include forgetting to apply the exponent to every term in an expression, using the wrong exponent rule, and not simplifying the expression before solving it.
You can check if your answer is correct by substituting the calculated value back into the original equation and simplifying it. If the simplified equation gives the same result as your answer, then it is correct. You can also use a calculator to verify the answer.