Solve -2(21*3^2/3*7+51*4^2/5)

$$- 2 ( \frac { 21 \times 3 ^ { 2 } } { 3 } \times \frac { 7 + 51 \times 4 ^ { 2 } } { 5 } )$$

Evaluate

$$-\frac{103698}{5}=-20739.6$$

Solution Steps

Calculate 3 to the power of 2 and get 9.

$$-2\times \frac{21\times 9}{3}\times \frac{7+51\times 4^{2}}{5}$$

Multiply 21 and 9 to get 189.

$$-2\times \frac{189}{3}\times \frac{7+51\times 4^{2}}{5}$$

Divide 189 by 3 to get 63.

$$-2\times 63\times \frac{7+51\times 4^{2}}{5}$$

Multiply -2 and 63 to get -126.

$$-126\times \frac{7+51\times 4^{2}}{5}$$

Calculate 4 to the power of 2 and get 16.

$$-126\times \frac{7+51\times 16}{5}$$

Multiply 51 and 16 to get 816.

$$-126\times \frac{7+816}{5}$$

Add 7 and 816 to get 823.

$$-126\times \frac{823}{5}$$

Express -126\times \frac{823}{5} as a single fraction.

$$\frac{-126\times 823}{5}$$

Multiply -126 and 823 to get -103698.

$$\frac{-103698}{5}$$

Fraction \frac{-103698}{5} can be rewritten as -\frac{103698}{5} by extracting the negative sign.

$$-\frac{103698}{5}$$

Factor

$$-\frac{103698}{5} = -20739\frac{3}{5} = -20739.6$$