Question

John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.

A
4x5y7z3

B
4x6y10z

C
8x5y7z3

D
16x6y10z2

Answer 1

Explanation:

`\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^(n\cdot m )} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^(3\cdot 2)\cdot y^(5\cdot 2)\cdot z^2=16 \ x^6 \cdot y^(10) \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^(10) \cdot z^2 }`

Answer 2

D
`\bold{16x^(6)y^(10)z²}`

Answer:

John needs to rewrite the expression
`(4x^(3)y^(5)z)²`. Identify which of the following is the simplified form of the expression.

`(4x^(3)y^(5)z)²`

remenber that square is for all

and power is multiplied

`4²x^(3*2)y^(5*2)*z²`

`16x^(6)y^(10)z²`