Solve F=6.7*10^-11*10^24left(7.4*10right)^22/left(3.84*10right)^2

$$F = \frac{ 6.7 \times { 10 }^{ -11 } \times { 10 }^{ 24 } { \left(7.4 \times 10 \right) }^{ 22 } }{ { \left(3.84 \times 10 \right) }^{ 2 } }$$

Solve for F

$$F=\frac{54294107375543333424328787355820751948800000000000000}{9}\approx 6.032678597 \cdot 10^{51}$$

Steps for Solving Linear Equation

To multiply powers of the same base, add their exponents. Add -11 and 24 to get 13.

$$F=\frac{6.7\times 10^{13}\times \left(7.4\times 10\right)^{22}}{\left(3.84\times 10\right)^{2}}$$

Calculate 10 to the power of 13 and get 10000000000000.

$$F=\frac{6.7\times 10000000000000\times \left(7.4\times 10\right)^{22}}{\left(3.84\times 10\right)^{2}}$$

Multiply 6.7 and 10000000000000 to get 67000000000000.

$$F=\frac{67000000000000\times \left(7.4\times 10\right)^{22}}{\left(3.84\times 10\right)^{2}}$$

Multiply 7.4 and 10 to get 74.

$$F=\frac{67000000000000\times 74^{22}}{\left(3.84\times 10\right)^{2}}$$

Calculate 74 to the power of 22 and get 132769351528492832063313858513099582078976.

$$F=\frac{67000000000000\times 132769351528492832063313858513099582078976}{\left(3.84\times 10\right)^{2}}$$

Multiply 67000000000000 and 132769351528492832063313858513099582078976 to get 8895546552409019748242028520377671999291392000000000000.

$$F=\frac{8895546552409019748242028520377671999291392000000000000}{\left(3.84\times 10\right)^{2}}$$

Multiply 3.84 and 10 to get 38.4.

$$F=\frac{8895546552409019748242028520377671999291392000000000000}{38.4^{2}}$$

Calculate 38.4 to the power of 2 and get 1474.56.

$$F=\frac{8895546552409019748242028520377671999291392000000000000}{1474.56}$$

Expand \frac{8895546552409019748242028520377671999291392000000000000}{1474.56} by multiplying both numerator and the denominator by 100.

$$F=\frac{889554655240901974824202852037767199929139200000000000000}{147456}$$

Reduce the fraction \frac{889554655240901974824202852037767199929139200000000000000}{147456} to lowest terms by extracting and canceling out 16384.

$$F=\frac{54294107375543333424328787355820751948800000000000000}{9}$$

Assign F

$$F≔\frac{54294107375543333424328787355820751948800000000000000}{9}$$