Evaluate (8/343)^(-2/3)

Math
(8343)-23
Change the sign of the exponent by rewriting the base as its reciprocal.
(3438)23
Apply the product rule to 3438.
34323823
Simplify the numerator.
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Rewrite 343 as 73.
(73)23823
Apply the power rule and multiply exponents, (am)n=amn.
73(23)823
Cancel the common factor of 3.
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Cancel the common factor.
73(23)823
Rewrite the expression.
72823
72823
Raise 7 to the power of 2.
49823
49823
Simplify the denominator.
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Rewrite 8 as 23.
49(23)23
Apply the power rule and multiply exponents, (am)n=amn.
4923(23)
Cancel the common factor of 3.
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Cancel the common factor.
4923(23)
Rewrite the expression.
4922
4922
Raise 2 to the power of 2.
494
494
The result can be shown in multiple forms.
Exact Form:
494
Decimal Form:
12.25
Mixed Number Form:
1214
Evaluate (8/343)^(-2/3)

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