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

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

$4²x^{3*2}y^{5*2}*z²$

$16x^{6}y^{10}z²$

Answer 2

Step-by-step explanation:

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