Solve A=5^-3*2^-7/(30)^-7*3^6

$$A = \frac { 5 ^ { - 3 } \cdot 2 ^ { - 7 } } { ( 30 ) ^ { - 7 } \cdot 3 ^ { 6 } }$$

Solve for A

$$A=1875$$

Steps for Solving Linear Equation

Calculate 5 to the power of -3 and get \frac{1}{125}.

$$A=\frac{\frac{1}{125}\times 2^{-7}}{30^{-7}\times 3^{6}}$$

Calculate 2 to the power of -7 and get \frac{1}{128}.

$$A=\frac{\frac{1}{125}\times \frac{1}{128}}{30^{-7}\times 3^{6}}$$

Multiply \frac{1}{125} and \frac{1}{128} to get \frac{1}{16000}.

$$A=\frac{\frac{1}{16000}}{30^{-7}\times 3^{6}}$$

Calculate 30 to the power of -7 and get \frac{1}{21870000000}.

$$A=\frac{\frac{1}{16000}}{\frac{1}{21870000000}\times 3^{6}}$$

Calculate 3 to the power of 6 and get 729.

$$A=\frac{\frac{1}{16000}}{\frac{1}{21870000000}\times 729}$$

Multiply \frac{1}{21870000000} and 729 to get \frac{1}{30000000}.

$$A=\frac{\frac{1}{16000}}{\frac{1}{30000000}}$$

Divide \frac{1}{16000} by \frac{1}{30000000} by multiplying \frac{1}{16000} by the reciprocal of \frac{1}{30000000}.

$$A=\frac{1}{16000}\times 30000000$$

Multiply \frac{1}{16000} and 30000000 to get 1875.

$$A=1875$$

Assign A

$$A≔1875$$