Solve (2^3*2^5)^7:2^3=

$$( 2 ^ { 3 } \cdot 2 ^ { 5 } ) ^ { 7 } : 2 ^ { 3 } =$$

Evaluate

$$9007199254740992$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.

$$\frac{\left(2^{8}\right)^{7}}{2^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 8 and 7 to get 56.

$$\frac{2^{56}}{2^{3}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 3 from 56 to get 53.

$$2^{53}$$

Calculate 2 to the power of 53 and get 9007199254740992.

$$9007199254740992$$

Factor

$$2^{53}$$