To calculate: To evaluate the expression (27x^{6}y^{3})^{-2/3}.

Emeli Hagan 2021-11-03 Answered
To calculate:
To evaluate the expression (27x6y3)23.
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Expert Answer

Bentley Leach
Answered 2021-11-04 Author has 109 answers
Calculation:
Applying the fraction rule, ab=ab
The expression can be written as (27x6y3)23
According to the basic rules of exponents, am=1am
Applying the above rule,
This can be written as 1(27x6y3)23
(27x6y3)23=2723(x6)23(y3)23 (According to exponent rule, (ab)n=anbn)
1(27x6y3)23=12723(x6)23(y3)23
1(27x6y3)23=1(33)23(x6)23(y3)23
1(27x6y3)23=1(3)3×23(x)6×23(y)3×23
1(27x6y3)23=19x4y2
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