Simplify. Answers should always have positive exponents.( x by the power4 y by the power5 z by the power negative 3) by the power negative 2
To simplify the expression ( x^4 y^5 z^-3)^-2, we can apply the power rule, which states that when a power is raised to another power, we multiply the exponents.
So, multiplying the exponents, we have:
x^(4*-2) * y^(5*-2) * z^(-3*-2)
= x^-8 * y^-10 * z^6
To eliminate the negative exponents, we can flip each term to the denominator:
1 / (x^8 * y^10 * z^6)
Therefore, the simplified expression is 1 / (x^8 * y^10 * z^6).