Solve = 6.7*10^ -11 *6*10^ 24 *7.4*10^ 22 (3.84*10^ 8 )^ 2 | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$=\frac{6.7\times10^{-11}\times6\times10^{24}\times7.4\times10^{22}}{(3.84\times10^{8})^{2}}$$

Evaluate

$\frac{605224609375000000000}{3}\approx 2.017415365 \cdot 10^{20}$

Solution Steps

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

$$\frac{6.7\times 10^{13}\times 6\times 7.4\times 10^{22}}{\left(3.84\times 10^{8}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add $13$ and $22$ to get $35$.

$$\frac{6.7\times 10^{35}\times 6\times 7.4}{\left(3.84\times 10^{8}\right)^{2}}$$

Calculate $10$ to the power of $35$ and get $100000000000000000000000000000000000$.

$$\frac{6.7\times 100000000000000000000000000000000000\times 6\times 7.4}{\left(3.84\times 10^{8}\right)^{2}}$$

Multiply $6.7$ and $100000000000000000000000000000000000$ to get $670000000000000000000000000000000000$.

$$\frac{670000000000000000000000000000000000\times 6\times 7.4}{\left(3.84\times 10^{8}\right)^{2}}$$

Multiply $670000000000000000000000000000000000$ and $6$ to get $4020000000000000000000000000000000000$.

$$\frac{4020000000000000000000000000000000000\times 7.4}{\left(3.84\times 10^{8}\right)^{2}}$$

Multiply $4020000000000000000000000000000000000$ and $7.4$ to get $29748000000000000000000000000000000000$.

$$\frac{29748000000000000000000000000000000000}{\left(3.84\times 10^{8}\right)^{2}}$$

Calculate $10$ to the power of $8$ and get $100000000$.

$$\frac{29748000000000000000000000000000000000}{\left(3.84\times 100000000\right)^{2}}$$

Multiply $3.84$ and $100000000$ to get $384000000$.

$$\frac{29748000000000000000000000000000000000}{384000000^{2}}$$

Calculate $384000000$ to the power of $2$ and get $147456000000000000$.

$$\frac{29748000000000000000000000000000000000}{147456000000000000}$$

Reduce the fraction $\frac{29748000000000000000000000000000000000}{147456000000000000}$ to lowest terms by extracting and canceling out $49152000000000000$.

$$\frac{605224609375000000000}{3}$$

Factor

$\frac{37 \cdot 67 \cdot 2 ^ {9} \cdot 5 ^ {21}}{3} = 2.017415364583333 \times 10^{20}\frac{1}{3} = 2.017415364583333 \times 10^{20}$