Solve -3/5pi2pi4/5pipi

$$- \frac { 3 } { 5 } \pi 2 \pi \frac { 4 } { 5 } \pi \pi$$

Evaluate

$$-\frac{24\pi ^{4}}{25}\approx -93.512727393$$

Solution Steps

Multiply \pi and \pi to get \pi ^{2}.

$$-\frac{3}{5}\pi ^{2}\times 2\times \frac{4}{5}\pi \pi$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$-\frac{3}{5}\pi ^{3}\times 2\times \frac{4}{5}\pi$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$-\frac{3}{5}\pi ^{4}\times 2\times \frac{4}{5}$$

Express -\frac{3}{5}\times 2 as a single fraction.

$$\frac{-3\times 2}{5}\pi ^{4}\times \frac{4}{5}$$

Multiply -3 and 2 to get -6.

$$\frac{-6}{5}\pi ^{4}\times \frac{4}{5}$$

Fraction \frac{-6}{5} can be rewritten as -\frac{6}{5} by extracting the negative sign.

$$-\frac{6}{5}\pi ^{4}\times \frac{4}{5}$$

Multiply -\frac{6}{5} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-6\times 4}{5\times 5}\pi ^{4}$$

Do the multiplications in the fraction \frac{-6\times 4}{5\times 5}.

$$\frac{-24}{25}\pi ^{4}$$

Fraction \frac{-24}{25} can be rewritten as -\frac{24}{25} by extracting the negative sign.

$$-\frac{24}{25}\pi ^{4}$$