Solve (-7)^3:(-7)^4-(-5)^3-9^2:(-9)

$$( - 7 ) ^ { 3 } : ( - 7 ) ^ { 4 } - ( - 5 ) ^ { 3 } - 9 ^ { 2 } : ( - 9 )$$

Evaluate

$$\frac{937}{7}\approx 133.857142857$$

Solution Steps

Rewrite \left(-7\right)^{4} as -7\left(-7\right)^{3}. Cancel out \left(-7\right)^{3} in both numerator and denominator.

$$\frac{1}{-7}-\left(-5\right)^{3}-\frac{9^{2}}{-9}$$

Fraction \frac{1}{-7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$-\frac{1}{7}-\left(-5\right)^{3}-\frac{9^{2}}{-9}$$

Calculate -5 to the power of 3 and get -125.

$$-\frac{1}{7}-\left(-125\right)-\frac{9^{2}}{-9}$$

The opposite of -125 is 125.

$$-\frac{1}{7}+125-\frac{9^{2}}{-9}$$

Convert 125 to fraction \frac{875}{7}.

$$-\frac{1}{7}+\frac{875}{7}-\frac{9^{2}}{-9}$$

Since -\frac{1}{7} and \frac{875}{7} have the same denominator, add them by adding their numerators.

$$\frac{-1+875}{7}-\frac{9^{2}}{-9}$$

Add -1 and 875 to get 874.

$$\frac{874}{7}-\frac{9^{2}}{-9}$$

Calculate 9 to the power of 2 and get 81.

$$\frac{874}{7}-\frac{81}{-9}$$

Divide 81 by -9 to get -9.

$$\frac{874}{7}-\left(-9\right)$$

The opposite of -9 is 9.

$$\frac{874}{7}+9$$

Convert 9 to fraction \frac{63}{7}.

$$\frac{874}{7}+\frac{63}{7}$$

Since \frac{874}{7} and \frac{63}{7} have the same denominator, add them by adding their numerators.

$$\frac{874+63}{7}$$

Add 874 and 63 to get 937.

$$\frac{937}{7}$$

Factor

$$\frac{937}{7} = 133\frac{6}{7} = 133.85714285714286$$