Solve 8^3:8-4^9:4^6

$$8 ^ { 3 } : 8 - 4 ^ { 9 } : 4 ^ { 6 }$$

Evaluate

$$0$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 1 from 3 to get 2.

$$8^{2}-\frac{4^{9}}{4^{6}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 6 from 9 to get 3.

$$8^{2}-4^{3}$$

Calculate 8 to the power of 2 and get 64.

$$64-4^{3}$$

Calculate 4 to the power of 3 and get 64.

$$64-64$$

Subtract 64 from 64 to get 0.

$$0$$

Factor

$$0$$