Evaluate (-3/4)^3*1/3

Math
(-34)3⋅13
Move the negative in front of the fraction.
(-34)3⋅13
Use the power rule (ab)n=anbn to distribute the exponent.
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Apply the product rule to -34.
(-1)3(34)3⋅13
Apply the product rule to 34.
(-1)33343⋅13
(-1)33343⋅13
Evaluate the exponents.
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Raise -1 to the power of 3.
-3343⋅13
Raise 3 to the power of 3.
-2743⋅13
Raise 4 to the power of 3.
-2764⋅13
-2764⋅13
Cancel the common factor of 3.
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Move the leading negative in -2764 into the numerator.
-2764⋅13
Factor 3 out of -27.
3(-9)64⋅13
Cancel the common factor.
3⋅-964⋅13
Rewrite the expression.
-964
-964
Move the negative in front of the fraction.
-964
The result can be shown in multiple forms.
Exact Form:
-964
Decimal Form:
-0.140625
Evaluate (-3/4)^3*1/3

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