Solve -8/27120*3^7

$$- \frac{ 8 }{ 27 } 120 \times { 3 }^{ 7 }$$

Evaluate

$$-77760$$

Solution Steps

Express -\frac{8}{27}\times 120 as a single fraction.

$$\frac{-8\times 120}{27}\times 3^{7}$$

Multiply -8 and 120 to get -960.

$$\frac{-960}{27}\times 3^{7}$$

Reduce the fraction \frac{-960}{27} to lowest terms by extracting and canceling out 3.

$$-\frac{320}{9}\times 3^{7}$$

Calculate 3 to the power of 7 and get 2187.

$$-\frac{320}{9}\times 2187$$

Express -\frac{320}{9}\times 2187 as a single fraction.

$$\frac{-320\times 2187}{9}$$

Multiply -320 and 2187 to get -699840.

$$\frac{-699840}{9}$$

Divide -699840 by 9 to get -77760.

$$-77760$$

Factor

$$-77760$$