Simplify. A) `(x^3y)^5`       B)  `(rs^2)^6`

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lemjay | High School Teacher | (Level 2) Senior Educator

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To simplify the expressions, apply the property of exponents which is `(a^mb^n)^k=a^(m*k)b^(n*k)` .

(A)

`(x^3y)^5=x^(3*5)y^(1*5)=x^15y^5`

(B)

`(rs^2)^6=r^(1*6)s^(2*6)=r^6s^12`

 

Hence,   `(x^3y)^5=x^15y^5`     and      `(rs^2)^6=r^6s^12` .

 

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