Question

Simplify the expression using the laws of exponents. 36x−2y2 15z−3 A) 12x1/2y2 5z3/2 B) 12x2z3 5y2 C) 12y1/2x2z3 5 D) 12y2z3 5x2

Answer 1

Answer:

$\frac{12 {z}^{ 3} {y}^{2} }{5 {x}^{ 2} }$

Step-by-step explanation:

We want to simplify:

$\frac{36 {x}^{ - 2} {y}^{2} }{15 {z}^{ - 3} }$

The trick is that when a negative index in the numerator comes to the denominator , it becomes positive.

The vice-versa is also true.

That is:

${a}^{ - n} = \frac{1}{ {a}^{ n} }$

and

${a}^{n} = \frac{1}{ {a}^{ - n} }$

We simplify to get:

$\frac{12 {z}^{ 3} {y}^{2} }{5 {x}^{ 2} }$

The last choice is correct.