The value of 12x²y^4z³ ÷ (2xy² × 3yz²) will be:

Correct Answer is : 2xyz2xyz2xyz

Correct Answer is : 2xyz2xyz2xyz

Test Index

Surds and Indices Practice Test 1

Question : 13 of 40

Marks: +1, -0

The value of

12x^2y^4z^3 \div (2xy^2 \times 3yz^2)

will be:

Solution:

Concept:

Simplify an algebraic division by dividing coefficients and subtracting exponents of the same variable.

Explanation:

First, simplify the denominator:

2xy^2 \times 3yz^2 = 6xy^3z^2

Now divide the numerator by this denominator:

\frac{12x^2y^4z^3}{6xy^3z^2}

Divide the coefficients:

\frac{12}{6}=2

For

x

\frac{x^2}{x}=x

For

y

\frac{y^4}{y^3}=y

For

z

\frac{z^3}{z^2}=z

So, the result is

2xyz

Answer:

2xyz

(Option A)

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