Solve (3x^4) (3x^3) (3x^5) 2(1/2x^3x^4)

Question

Simplify the expression

27 x^{19}

Evaluate

3 x^{4} \times 3 x^{3} \times 3 x^{5} \times 2 (\frac{1}{2} x^{3} \times x^{4})

Remove the parentheses

3 x^{4} \times 3 x^{3} \times 3 x^{5} \times 2 \times \frac{1}{2} x^{3} \times x^{4}

Multiply the terms with the same base by adding their exponents

3^{1 + 1 + 1} x^{4} \times x^{3} \times x^{5} \times 2 \times \frac{1}{2} x^{3} \times x^{4}

Add the numbers

3^{3} x^{4} \times x^{3} \times x^{5} \times 2 \times \frac{1}{2} x^{3} \times x^{4}

Multiply the terms with the same base by adding their exponents

3^{3} x^{4 + 3 + 5 + 3 + 4} \times 2 \times \frac{1}{2}

Add the numbers

3^{3} x^{19} \times 2 \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

2 \times \frac{1}{2}

Reduce the fraction

1 \times 1

Any expression multiplied by 1 remains the same

1

3^{3} x^{19}

Solution

27 x^{19}

Show Solution

x = 0

Evaluate

(3 x^{4}) (3 x^{3}) (3 x^{5}) \times 2 (\frac{1}{2} x^{3} \times x^{4})

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

(3 x^{4}) (3 x^{3}) (3 x^{5}) \times 2 (\frac{1}{2} x^{3} \times x^{4}) = 0

Multiply the terms

3 x^{4} (3 x^{3}) (3 x^{5}) \times 2 (\frac{1}{2} x^{3} \times x^{4}) = 0

Multiply the terms

3 x^{4} \times 3 x^{3} (3 x^{5}) \times 2 (\frac{1}{2} x^{3} \times x^{4}) = 0

Multiply the terms

3 x^{4} \times 3 x^{3} \times 3 x^{5} \times 2 (\frac{1}{2} x^{3} \times x^{4}) = 0

Multiply

More Steps

Multiply the terms

\frac{1}{2} x^{3} \times x^{4}

Multiply the terms with the same base by adding their exponents

\frac{1}{2} x^{3 + 4}

Add the numbers

\frac{1}{2} x^{7}

3 x^{4} \times 3 x^{3} \times 3 x^{5} \times 2 \times \frac{1}{2} x^{7} = 0

Multiply

More Steps

Multiply the terms

3 x^{4} \times 3 x^{3} \times 3 x^{5} \times 2 \times \frac{1}{2} x^{7}

Multiply the terms with the same base by adding their exponents

3^{1 + 1 + 1} x^{4} \times x^{3} \times x^{5} \times 2 \times \frac{1}{2} x^{7}

Add the numbers

3^{3} x^{4} \times x^{3} \times x^{5} \times 2 \times \frac{1}{2} x^{7}

Multiply the terms with the same base by adding their exponents

3^{3} x^{4 + 3 + 5 + 7} \times 2 \times \frac{1}{2}

Add the numbers

3^{3} x^{19} \times 2 \times \frac{1}{2}

Multiply the terms

More Steps

Evaluate

2 \times \frac{1}{2}

Reduce the fraction

1 \times 1

Any expression multiplied by 1 remains the same

1

3^{3} x^{19}

3^{3} x^{19} = 0

Rewrite the expression

x^{19} = 0

Solution

x = 0

Show Solution