Type a math problem
Evaluate
Solution Steps
Expand .
To raise a power to another power, multiply the exponents. Multiply and to get .
Calculate to the power of and get .
Multiply and to get .
Cancel out in both numerator and denominator.
Divide by to get .
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\frac{3^{\left(-1\right)}\left(x^{2}\right)^{\left(-1\right)}y^{\left(-1\right)}x^{2}z}{3y^{\left(-1\right)}}
Expand \left(3x^{2}y\right)^{\left(-1\right)}.
\frac{3^{\left(-1\right)}x^{\left(-2\right)}y^{\left(-1\right)}x^{2}z}{3y^{\left(-1\right)}}
To raise a power to another power, multiply the exponents. Multiply 2 and -1 to get -2.
\frac{\frac{1}{3}x^{\left(-2\right)}y^{\left(-1\right)}x^{2}z}{3y^{\left(-1\right)}}
Calculate 3 to the power of -1 and get \frac{1}{3}\approx 0.333333333.
\frac{\frac{1}{3}y^{\left(-1\right)}z}{3y^{\left(-1\right)}}
Multiply x^{\left(-2\right)} and x^{2} to get 1.
\frac{\frac{1}{3}z}{3}
Cancel out \frac{1}{y} in both numerator and denominator.
\frac{1}{9}z
Divide \frac{1}{3}z by 3 to get \frac{1}{9}z.