Solve 4^8:4^2-3^3:3=

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

Evaluate

$$4087$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 2 from 8 to get 6.

$$4^{6}-\frac{3^{3}}{3}$$

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

$$4^{6}-3^{2}$$

Calculate 4 to the power of 6 and get 4096.

$$4096-3^{2}$$

Calculate 3 to the power of 2 and get 9.

$$4096-9$$

Subtract 9 from 4096 to get 4087.

$$4087$$

Factor

$$61\times 67$$