SOLUTION: rewrite the following expression with positive exponents
(24xy)^ -5/6
^means it is raising to the negative 5/6 power. 5?6 is suppose to be a fraction
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-> SOLUTION: rewrite the following expression with positive exponents
(24xy)^ -5/6
^means it is raising to the negative 5/6 power. 5?6 is suppose to be a fraction
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Question 472912: rewrite the following expression with positive exponents
(24xy)^ -5/6
^means it is raising to the negative 5/6 power. 5?6 is suppose to be a fraction Answer by Theo(13342) (Show Source):
You can put this solution on YOUR website! (24xy)(-5/6) would be equal to 1 / (24xy)(5/6)
this is because is equal to
it's one of the laws of exponents.
if the term with the negative exponent is in the numerator, then place it in the denominator.
if the term with the negative exponent is in the denominator, then place it in the numerator.
since (24xy) is in parentheses, then it is the term that is being raised to the negative exponent.
if 24xy was not enclosed in parentheses, then only the immediate term to the left of the exponent would be moved.
example:
24xy(-5/6) would be equal to 24x / y(5/6)
to confirm that the transformation is correct, simply provide a value for x and y and solve both the initial configuration and the final configuration.
example:
x = 5
y = 8
(24xy)^(-5/6) = 24*5*8)^(-5/6) = 960^(-5/6) = .003271704
1/(24xy)^(5/6) = 1/(24*5*8)^(5/6) = 1/960^(5/6) = 1/305.6511453 = .003271704
