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

(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.
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.
Cancel the common factor.
73(23)823
Rewrite the expression.
72823
72823
Raise 7 to the power of 2.
49823
49823
Simplify the denominator.
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.
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)