Solve left(7^6right)^-5/7^-29

$$\frac{ { \left( { 7 }^{ 6 } \right) }^{ -5 } }{ { 7 }^{ -29 } }$$

Evaluate

$$\frac{1}{7}\approx 0.142857143$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply 6 and -5 to get -30.

$$\frac{7^{-30}}{7^{-29}}$$

Rewrite 7^{-29} as 7\times 7^{-30}. Cancel out 7^{-30} in both numerator and denominator.

$$\frac{1}{7}$$

Factor

$$\frac{1}{7} = 0.14285714285714285$$