Solve 1x^3 1 1/4x^2 1 1/2x^3

Question

Simplify the expression

\frac{15}{8} x^{8}

Evaluate

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

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

Rewrite the expression

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

Multiply the terms with the same base by adding their exponents

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

Add the numbers

x^{8} \times \frac{5}{4} \times \frac{3}{2}

Multiply the terms

More Steps

Evaluate

\frac{5}{4} \times \frac{3}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5 \times 3}{4 \times 2}

Multiply the numbers

\frac{15}{4 \times 2}

Multiply the numbers

\frac{15}{8}

x^{8} \times \frac{15}{8}

Solution

\frac{15}{8} x^{8}

Show Solution

Find the roots

x = 0

Evaluate

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

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

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{4}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{4 + 1}{4}

Add the terms

\frac{5}{4}

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

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

1 \frac{1}{2}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{2 + 1}{2}

Add the terms

\frac{3}{2}

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

Multiply the terms

More Steps

Multiply the terms

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

Rewrite the expression

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

Multiply the terms with the same base by adding their exponents

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

Add the numbers

x^{8} \times \frac{5}{4} \times \frac{3}{2}

Multiply the terms

More Steps

Evaluate

\frac{5}{4} \times \frac{3}{2}

To multiply the fractions,multiply the numerators and denominators separately

\frac{5 \times 3}{4 \times 2}

Multiply the numbers

\frac{15}{4 \times 2}

Multiply the numbers

\frac{15}{8}

x^{8} \times \frac{15}{8}

Use the commutative property to reorder the terms

\frac{15}{8} x^{8}

\frac{15}{8} x^{8} = 0

Rewrite the expression

x^{8} = 0

Solution

x = 0

Show Solution