Solve frac{2^{5}*2^-3*2^0}{2^-7*2^6}

$$\frac { 2 ^ { 5 } \cdot 2 ^ { - 3 } \cdot 2 ^ { 0 } } { 2 ^ { - 7 } \cdot 2 ^ { 6 } }$$

Evaluate

$$8$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and -3 to get 2.

$$\frac{2^{2}\times 2^{0}}{2^{-7}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add 2 and 0 to get 2.

$$\frac{2^{2}}{2^{-7}\times 2^{6}}$$

To multiply powers of the same base, add their exponents. Add -7 and 6 to get -1.

$$\frac{2^{2}}{2^{-1}}$$

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

$$2^{3}$$

Calculate 2 to the power of 3 and get 8.

$$8$$

Factor

$$2^{3}$$