Solve 2^-3*2^6*6^4/3^2

$$\frac{ { 2 }^{ -3 } \times { 2 }^{ 6 } \times { 6 }^{ 4 } }{ { 3 }^{ 2 } }$$

Evaluate

$$1152$$

Solution Steps

To multiply powers of the same base, add their exponents. Add -3 and 6 to get 3.

$$\frac{2^{3}\times 6^{4}}{3^{2}}$$

Calculate 2 to the power of 3 and get 8.

$$\frac{8\times 6^{4}}{3^{2}}$$

Calculate 6 to the power of 4 and get 1296.

$$\frac{8\times 1296}{3^{2}}$$

Multiply 8 and 1296 to get 10368.

$$\frac{10368}{3^{2}}$$

Calculate 3 to the power of 2 and get 9.

$$\frac{10368}{9}$$

Divide 10368 by 9 to get 1152.

$$1152$$

Factor

$$2^{7}\times 3^{2}$$