Solve 2^5*15^0+(-3)^3-(2/7)^-2

$$2 ^ { 5 } \times 15 ^ { 0 } + ( - 3 ) ^ { 3 } - ( \frac { 2 } { 7 } ) ^ { - 2 }$$

Evaluate

$$-\frac{29}{4}=-7.25$$

Solution Steps

Calculate 2 to the power of 5 and get 32.

$$32\times 15^{0}+\left(-3\right)^{3}-\left(\frac{2}{7}\right)^{-2}$$

Calculate 15 to the power of 0 and get 1.

$$32\times 1+\left(-3\right)^{3}-\left(\frac{2}{7}\right)^{-2}$$

Multiply 32 and 1 to get 32.

$$32+\left(-3\right)^{3}-\left(\frac{2}{7}\right)^{-2}$$

Calculate -3 to the power of 3 and get -27.

$$32-27-\left(\frac{2}{7}\right)^{-2}$$

Subtract 27 from 32 to get 5.

$$5-\left(\frac{2}{7}\right)^{-2}$$

Calculate \frac{2}{7} to the power of -2 and get \frac{49}{4}.

$$5-\frac{49}{4}$$

Subtract \frac{49}{4} from 5 to get -\frac{29}{4}.

$$-\frac{29}{4}$$

Factor

$$-\frac{29}{4} = -7\frac{1}{4} = -7.25$$