Solve 4-8:9^3*10+10=

$$4 - \{ 8 : 9 \} ^ { 3 } \cdot 10 + 10 =$$

Evaluate

$$\frac{5086}{729}\approx 6.976680384$$

Solution Steps

Calculate \frac{8}{9} to the power of 3 and get \frac{512}{729}.

$$4-\frac{512}{729}\times 10+10$$

Express \frac{512}{729}\times 10 as a single fraction.

$$4-\frac{512\times 10}{729}+10$$

Multiply 512 and 10 to get 5120.

$$4-\frac{5120}{729}+10$$

Convert 4 to fraction \frac{2916}{729}.

$$\frac{2916}{729}-\frac{5120}{729}+10$$

Since \frac{2916}{729} and \frac{5120}{729} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2916-5120}{729}+10$$

Subtract 5120 from 2916 to get -2204.

$$-\frac{2204}{729}+10$$

Convert 10 to fraction \frac{7290}{729}.

$$-\frac{2204}{729}+\frac{7290}{729}$$

Since -\frac{2204}{729} and \frac{7290}{729} have the same denominator, add them by adding their numerators.

$$\frac{-2204+7290}{729}$$

Add -2204 and 7290 to get 5086.

$$\frac{5086}{729}$$

Factor

$$\frac{2 \cdot 2543}{3 ^ {6}} = 6\frac{712}{729} = 6.976680384087792$$