Solve 1972=P4*40*10^-2/3.14*15.06^210^-4

$$1972 = P \frac{ 4 \cdot 40 \times { 10 }^{ -2 } }{ 3.14 \times { 15.06 }^{ 2 } { 10 }^{ -4 } }$$

Solve for P

$$P=87.774127218$$

Steps for Solving Linear Equation

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$1972=P\times \frac{4\times 40\times 10^{2}}{3.14\times 15.06^{2}}$$

Multiply 4 and 40 to get 160.

$$1972=P\times \frac{160\times 10^{2}}{3.14\times 15.06^{2}}$$

Calculate 10 to the power of 2 and get 100.

$$1972=P\times \frac{160\times 100}{3.14\times 15.06^{2}}$$

Multiply 160 and 100 to get 16000.

$$1972=P\times \frac{16000}{3.14\times 15.06^{2}}$$

Calculate 15.06 to the power of 2 and get 226.8036.

$$1972=P\times \frac{16000}{3.14\times 226.8036}$$

Multiply 3.14 and 226.8036 to get 712.163304.

$$1972=P\times \frac{16000}{712.163304}$$

Expand \frac{16000}{712.163304} by multiplying both numerator and the denominator by 1000000.

$$1972=P\times \frac{16000000000}{712163304}$$

Reduce the fraction \frac{16000000000}{712163304} to lowest terms by extracting and canceling out 8.

$$1972=P\times \frac{2000000000}{89020413}$$

Swap sides so that all variable terms are on the left hand side.

$$P\times \frac{2000000000}{89020413}=1972$$

Multiply both sides by \frac{89020413}{2000000000}, the reciprocal of \frac{2000000000}{89020413}.

$$P=1972\times \frac{89020413}{2000000000}$$

Multiply 1972 and \frac{89020413}{2000000000} to get \frac{43887063609}{500000000}.

$$P=\frac{43887063609}{500000000}$$