Solve (7^-3)^-4/(7^3)^3

$$\frac { ( 7 ^ { - 3 } ) ^ { - 4 } } { ( 7 ^ { 3 } ) ^ { 3 } }$$

Evaluate

$$343$$

Solution Steps

To raise a power to another power, multiply the exponents. Multiply -3 and -4 to get 12.

$$\frac{7^{12}}{\left(7^{3}\right)^{3}}$$

To raise a power to another power, multiply the exponents. Multiply 3 and 3 to get 9.

$$\frac{7^{12}}{7^{9}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent. Subtract 9 from 12 to get 3.

$$7^{3}$$

Calculate 7 to the power of 3 and get 343.

$$343$$

Factor

$$7^{3}$$