Solve v(t)3/16t^3-9/4t^2 27/4t

Question

Simplify the expression

\frac{3}{16} v t^{4} - \frac{243}{16} t^{3}

Evaluate

v t \times \frac{3}{16} t^{3} - \frac{9}{4} t^{2} \times \frac{27}{4} t

Multiply

More Steps

Multiply the terms

v t \times \frac{3}{16} t^{3}

Multiply the terms with the same base by adding their exponents

v t^{1 + 3} \times \frac{3}{16}

Add the numbers

v t^{4} \times \frac{3}{16}

Use the commutative property to reorder the terms

\frac{3}{16} v t^{4}

\frac{3}{16} v t^{4} - \frac{9}{4} t^{2} \times \frac{27}{4} t

Solution

More Steps

Multiply the terms

\frac{9}{4} t^{2} \times \frac{27}{4} t

Multiply the terms

More Steps

Evaluate

\frac{9}{4} \times \frac{27}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{9 \times 27}{4 \times 4}

Multiply the numbers

\frac{243}{4 \times 4}

Multiply the numbers

\frac{243}{16}

\frac{243}{16} t^{2} \times t

Multiply the terms with the same base by adding their exponents

\frac{243}{16} t^{2 + 1}

Add the numbers

\frac{243}{16} t^{3}

\frac{3}{16} v t^{4} - \frac{243}{16} t^{3}

Show Solution

\frac{3}{16} t^{3} (v t - 81)

Evaluate

v t \times \frac{3}{16} t^{3} - \frac{9}{4} t^{2} \times \frac{27}{4} t

Multiply

More Steps

Multiply the terms

v t \times \frac{3}{16} t^{3}

Multiply the terms with the same base by adding their exponents

v t^{1 + 3} \times \frac{3}{16}

Add the numbers

v t^{4} \times \frac{3}{16}

Use the commutative property to reorder the terms

\frac{3}{16} v t^{4}

\frac{3}{16} v t^{4} - \frac{9}{4} t^{2} \times \frac{27}{4} t

Multiply

More Steps

Multiply the terms

\frac{9}{4} t^{2} \times \frac{27}{4} t

Multiply the terms

More Steps

Evaluate

\frac{9}{4} \times \frac{27}{4}

To multiply the fractions,multiply the numerators and denominators separately

\frac{9 \times 27}{4 \times 4}

Multiply the numbers

\frac{243}{4 \times 4}

Multiply the numbers

\frac{243}{16}

\frac{243}{16} t^{2} \times t

Multiply the terms with the same base by adding their exponents

\frac{243}{16} t^{2 + 1}

Add the numbers

\frac{243}{16} t^{3}

\frac{3}{16} v t^{4} - \frac{243}{16} t^{3}

Calculate

\frac{3}{16} t^{4} v - \frac{243}{16} t^{3}

Rewrite the expression

\frac{3}{16} t^{3} v t - \frac{3}{16} t^{3} \times 81

Solution

\frac{3}{16} t^{3} (v t - 81)

Show Solution