Question

carry out the following division 14x^3 by 42x^2
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Answer 1

Answer:

42^/84^=1

Step-by-step explanation:

The 14×^3by42×^2=42^/84^=1 then the answer is 1

Answer 2

The division for the given expression $\frac{14x^3}{42x^2}$ is $\frac{x}{3}$

Explanation:

Given expression is $\frac{14x^3}{42x^2}$

To find the division for the given expression :

• $\frac{14x^3}{42x^2}$
• $=\frac{14x^3.x^{-2}}{42}$ ( by using the property of  expnents $\frac{a^m}{a^n}=a^m.a^{-n}$ )
• $=\frac{1x^{3-2}}{3}$ ( by using the property of exponents $a^m.a^{-n}=a^{m-n}$ )
• $=\frac{x^1}{3}$
• $=\frac{x}{3}$
• Therefore $\frac{14x^3}{42x^2}=\frac{x}{3}$

• The simplified expression is $\frac{x}{3}$

Therefore the division for the given expression is $\frac{x}{3}$