SOLUTION: What expression raised to the fourth power is 81x12y8z16?

Question 75504: What expression raised to the fourth power is 81x12y8z16?
Answer by bucky(2189) (Show Source): You can put this solution on YOUR website!
Take the one-forth power of
.
When you do you can write this as:
.

.
This can be "expanded" by raising each of the 4 factors to the power to get:
.

.
You can use a calculator (or you may be able to figure out) that the 4th root of 81 is
either plus 3 or minus 3. For each of the other factors you can follow the power rule and
multiply the exponent of the term by . When you do that you get:
.

.
and
.

.
and, finally
.

.
When you multiply all four of these results together you get:
.
and
.
and those two are the answers to the problem. You can check by multiplying both the answers
times themselves 4 times (four factors multiplied together) and see if you don't get back to
the original expression.
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