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Vesnalui [34]
4 years ago
7

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

Mathematics
1 answer:
tino4ka555 [31]4 years ago
5 0

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.

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