( frac{(-7)^{3} times 7^{8} times(-49)^{2}}{7^{-4} timesleft(-7^{3}right)^{5}} )

Question

Accepted Answer

Step:1 ：( frac{(-7)^{3} times 7^{8} times(-49)^{2}}{7^{-4} timesleft(-7^{3}right)^{5}} ) = ( frac{(-7)^{3} times 7^{8} times(-7)^{2 times 2}}{7^{-4} timesleft(-1 times 7^{3}right)^{5}} )Step:2 ：( frac{(-7)^{3} times 7^{8} times(-7)^{4}}{7^{-4} times(-1)^{5} times 7^{15}} ) = ( frac{7^{3 + 8 + 4}}{7^{-4} times(-1)^{6} times 7^{15}} )Step:3 ：( frac{7^{15}}{7^{-4} times 1 times 7^{15}} ) = ( frac{7^{15}}{7^{15 - 4}} ) = 7^4 = boxed{2401}

Answer

Step: 1 ：( frac{(-7)^{3} times 7^{8} times(-49)^{2}}{7^{-4} timesleft(-7^{3}right)^{5}} ) = ( frac{(-7)^{3} times 7^{8} times(-7)^{2 times 2}}{7^{-4} timesleft(-1 times 7^{3}right)^{5}} )Step: 2 ：( frac{(-7)^{3} times 7^{8} times(-7)^{4}}{7^{-4} times(-1)^{5} times 7^{15}} ) = ( frac{7^{3 + 8 + 4}}{7^{-4} times(-1)^{6} times 7^{15}} )Step: 3 ：( frac{7^{15}}{7^{-4} times 1 times 7^{15}} ) = ( frac{7^{15}}{7^{15 - 4}} ) = 7^4 = boxed{2401}

$\frac{(- 7)^{3} \times 7^{8} \times (- 49)^{2}}{7^{- 4} \times {(- 7^{3})}^{5}}$

Answer

Popular Problems

(−7)3×78×(−49)27−4×(−73)5

Answer

Popular Problems

$\frac{(- 7)^{3} \times 7^{8} \times (- 49)^{2}}{7^{- 4} \times {(- 7^{3})}^{5}}$