Solve 3^53^43^7/9^3{9^2}

$$\frac{ { 3 }^{ 5 } { 3 }^{ 4 } { 3 }^{ 7 } }{ { 9 }^{ 3 } { 9 }^{ 2 } }$$

Evaluate

$$729$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.

$$\frac{3^{9}\times 3^{7}}{9^{3}\times 9^{2}}$$

To multiply powers of the same base, add their exponents. Add 9 and 7 to get 16.

$$\frac{3^{16}}{9^{3}\times 9^{2}}$$

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

$$\frac{3^{16}}{9^{5}}$$

Calculate 3 to the power of 16 and get 43046721.

$$\frac{43046721}{9^{5}}$$

Calculate 9 to the power of 5 and get 59049.

$$\frac{43046721}{59049}$$

Divide 43046721 by 59049 to get 729.

$$729$$

Factor

$$3^{6}$$