You can put this solution on YOUR website! I assume the problem is:
If so, please use "^" to indicate exponentiation and parentheses around the exponent if it is not just a single whole number or variable. For example:
27^(2/3)
Until you get comfortable with negative and/or fractional exponents I find it can be helpful to factor the exponent in a special way:
If the exponent is negative, factor out a -1.
If the exponent is fractional, factor out the numerator (with 1/denominator as the other factor.
Factoring your exponent in this way we get:
Now we can look at the exponent factor by factor:
The 2 tells us we will be squaring.
The 1/3 tells us that we will be finding a cube root.
And since multiplication is Commutative, we can do these operations in any order we choose! So we ask ourselves: "What will be easier? Squaring 27 or finding the cube root of 27?" There is no wrong answer to this equation. No matter what order we choose the answer works out the same either way.
Since I think finding the cube root of 27 is easier than squaring 27. So I will find the cube root and then square it:
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