Question

which of the following expression is equivalent to the expression (9m^2n^6)/(3mn^4)?
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Answer 1

Concept:

A system of equations is a set of numbers and variables with mathematical operations.

Given:

(9m²n⁶) / (3mn⁴)

Find:

We are asked to find the expression equivalent to the given expression.

Solution:

We have,

(9m²n⁶) / (3mn⁴)

Now,

On dividing the Numerator and Denominator of the given expression by 3,

We get,

(3m²n⁶) / (mn⁴)

Now,

Using the Exponent rule for the given equation,

i.e.

xᵃ / xᵇ = xᵃ⁻ᵇ

So,

(3m²n⁶) / (mn⁴)

We get,

(3m²⁻¹n⁶⁻⁴)

Now, on simplifying,

We get,

3mn²

So, this is the equation that is equivalent to the given equation.

Hence, the expression that is equivalent to the given expression is 3mn².

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