Solve x1^2 3x^2/x1^3 14x^2 3

Question

Simplify the expression

126 x^{4}

Evaluate

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3

Remove the parentheses

x \times 1^{2} \times 3 \times \frac{x ^{2}}{x} \times 1^{3} \times 14 x^{2} \times 3

1 raised to any power equals to 1

x \times 1 \times 3 \times \frac{x ^{2}}{x} \times 1^{3} \times 14 x^{2} \times 3

Divide the terms

More Steps

Evaluate

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

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{x ^{2 - 1}}{1}

Simplify

x^{2 - 1}

Divide the terms

x

x \times 1 \times 3 x \times 1^{3} \times 14 x^{2} \times 3

1 raised to any power equals to 1

x \times 1 \times 3 x \times 1 \times 14 x^{2} \times 3

Rewrite the expression

x \times 3 x \times 14 x^{2} \times 3

Multiply the terms with the same base by adding their exponents

x^{1 + 2} \times 3 x \times 14 \times 3

Add the numbers

x^{3} \times 3 x \times 14 \times 3

Multiply the terms

More Steps

Evaluate

3 \times 14 \times 3

Multiply the terms

42 \times 3

Multiply the numbers

126

x^{3} \times 126 x

Multiply the terms with the same base by adding their exponents

126 x^{1 + 3}

Solution

126 x^{4}

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Find the excluded values

x = 0

Evaluate

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3

Solution

x = 0

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Find the roots

x \in \emptyset

Evaluate

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3

To find the roots of the expression,set the expression equal to 0

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3 = 0

Find the domain

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3 = 0, x \neq = 0

Calculate

x \times 1^{2} \times (3 \times \frac{x ^{2}}{x}) \times 1^{3} \times 14 x^{2} \times 3 = 0

Divide the terms

More Steps

Evaluate

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

Use the product rule \frac{a ^{n}}{a ^{m}} = a^{n - m} to simplify the expression

\frac{x ^{2 - 1}}{1}

Simplify

x^{2 - 1}

Divide the terms

x

x \times 1^{2} \times (3 x) \times 1^{3} \times 14 x^{2} \times 3 = 0

Multiply the terms

x \times 1^{2} \times 3 x \times 1^{3} \times 14 x^{2} \times 3 = 0

1 raised to any power equals to 1

x \times 1 \times 3 x \times 1^{3} \times 14 x^{2} \times 3 = 0

1 raised to any power equals to 1

x \times 1 \times 3 x \times 1 \times 14 x^{2} \times 3 = 0

Multiply the terms

More Steps

Multiply the terms

x \times 1 \times 3 x \times 1 \times 14 x^{2} \times 3

Rewrite the expression

x \times 3 x \times 14 x^{2} \times 3

Multiply the terms with the same base by adding their exponents

x^{1 + 2} \times 3 x \times 14 \times 3

Add the numbers

x^{3} \times 3 x \times 14 \times 3

Multiply the terms

More Steps

Evaluate

3 \times 14 \times 3

Multiply the terms

42 \times 3

Multiply the numbers

126

x^{3} \times 126 x

Multiply the terms with the same base by adding their exponents

126 x^{1 + 3}

Add the numbers

126 x^{4}

126 x^{4} = 0

Rewrite the expression

x^{4} = 0

The only way a power can be 0 is when the base equals 0

x = 0

Check if the solution is in the defined range

x = 0, x \neq = 0

Solution

x \in \emptyset

Show Solution