Solve 16^17div7^27div6^16*7^28

$${ 16 }^{ 17 } \div { 7 }^{ 27 } \div { 6 }^{ 16 } \times { 7 }^{ 28 }$$

Evaluate

$$\frac{31525197391593472}{43046721}\approx 732348403.298673365$$

Solution Steps

Calculate 16 to the power of 17 and get 295147905179352825856.

$$\frac{\frac{295147905179352825856}{7^{27}}}{6^{16}}\times 7^{28}$$

Calculate 7 to the power of 27 and get 65712362363534280139543.

$$\frac{\frac{295147905179352825856}{65712362363534280139543}}{6^{16}}\times 7^{28}$$

Calculate 6 to the power of 16 and get 2821109907456.

$$\frac{\frac{295147905179352825856}{65712362363534280139543}}{2821109907456}\times 7^{28}$$

Express \frac{\frac{295147905179352825856}{65712362363534280139543}}{2821109907456} as a single fraction.

$$\frac{295147905179352825856}{65712362363534280139543\times 2821109907456}\times 7^{28}$$

Multiply 65712362363534280139543 and 2821109907456 to get 185381796506105330473549731496132608.

$$\frac{295147905179352825856}{185381796506105330473549731496132608}\times 7^{28}$$

Reduce the fraction \frac{295147905179352825856}{185381796506105330473549731496132608} to lowest terms by extracting and canceling out 65536.

$$\frac{4503599627370496}{2828701728913960731102748588503}\times 7^{28}$$

Calculate 7 to the power of 28 and get 459986536544739960976801.

$$\frac{4503599627370496}{2828701728913960731102748588503}\times 459986536544739960976801$$

Express \frac{4503599627370496}{2828701728913960731102748588503}\times 459986536544739960976801 as a single fraction.

$$\frac{4503599627370496\times 459986536544739960976801}{2828701728913960731102748588503}$$

Multiply 4503599627370496 and 459986536544739960976801 to get 2071595194578335928910795515835287863296.

$$\frac{2071595194578335928910795515835287863296}{2828701728913960731102748588503}$$

Reduce the fraction \frac{2071595194578335928910795515835287863296}{2828701728913960731102748588503} to lowest terms by extracting and canceling out 65712362363534280139543.

$$\frac{31525197391593472}{43046721}$$

Factor

$$\frac{2 ^ {52} \cdot 7}{3 ^ {16}} = 732348403\frac{12856909}{43046721} = 732348403.2986734$$