Solve 9=6.67*10^-11*6*10^24/6.4*10^6

$$9 = \frac { 6.67 \times 10 ^ { - 11 } \times 6 \times 10 ^ { 24 } } { 6.4 \times 10 ^ { 6 } }$$

Verify

Solution Steps

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

$$9=\frac{6.67\times 10^{13}\times 6}{6.4\times 10^{6}}$$

Cancel out 10^{6} in both numerator and denominator.

$$9=\frac{6\times 6.67\times 10^{7}}{6.4}$$

Multiply 6 and 6.67 to get 40.02.

$$9=\frac{40.02\times 10^{7}}{6.4}$$

Calculate 10 to the power of 7 and get 10000000.

$$9=\frac{40.02\times 10000000}{6.4}$$

Multiply 40.02 and 10000000 to get 400200000.

$$9=\frac{400200000}{6.4}$$

Expand \frac{400200000}{6.4} by multiplying both numerator and the denominator by 10.

$$9=\frac{4002000000}{64}$$

Divide 4002000000 by 64 to get 62531250.

$$9=62531250$$

Compare 9 and 62531250.

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