Evaluate (343/216)^(-2/3)

Math
(343216)-23
Change the sign of the exponent by rewriting the base as its reciprocal.
(216343)23
Apply the product rule to 216343.
2162334323
Simplify the numerator.
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Rewrite 216 as 63.
(63)2334323
Apply the power rule and multiply exponents, (am)n=amn.
63(23)34323
Cancel the common factor of 3.
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Cancel the common factor.
63(23)34323
Rewrite the expression.
6234323
6234323
Raise 6 to the power of 2.
3634323
3634323
Simplify the denominator.
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Rewrite 343 as 73.
36(73)23
Apply the power rule and multiply exponents, (am)n=amn.
3673(23)
Cancel the common factor of 3.
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Cancel the common factor.
3673(23)
Rewrite the expression.
3672
3672
Raise 7 to the power of 2.
3649
3649
The result can be shown in multiple forms.
Exact Form:
3649
Decimal Form:
0.73469387…
Evaluate (343/216)^(-2/3)

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