Solve 2*3^6+3^7div3^4-3*3^5

$$2 \times { 3 }^{ 6 } + { 3 }^{ 7 } \div { 3 }^{ 4 } -3 \times { 3 }^{ 5 }$$

Evaluate

$$756$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 4 from 7 to get 3.

$$2\times 3^{6}+3^{3}-3\times 3^{5}$$

To multiply powers of the same base, add their exponents. Add 1 and 5 to get 6.

$$2\times 3^{6}+3^{3}-3^{6}$$

Calculate 3 to the power of 6 and get 729.

$$2\times 729+3^{3}-3^{6}$$

Multiply 2 and 729 to get 1458.

$$1458+3^{3}-3^{6}$$

Calculate 3 to the power of 3 and get 27.

$$1458+27-3^{6}$$

Add 1458 and 27 to get 1485.

$$1485-3^{6}$$

Calculate 3 to the power of 6 and get 729.

$$1485-729$$

Subtract 729 from 1485 to get 756.

$$756$$

Factor

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