Solve (6.7 * 10 ^ - 11 * 2.5 * 10 ^ 20 * 3.6 * 10 ^ 15)/((3.35 * 10 ^ 6) ^ 2) 7 | 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

$$\frac { 6.7 \times 10 ^ { - 11 } \times 2.5 \times 10 ^ { 20 } \times 3.6 \times 10 ^ { 15 } } { ( 3.35 \times 10 ^ { 6 } ) ^ { 2 } }$$

Evaluate

$\frac{360000000000000}{67}\approx 5.373134328 \cdot 10^{12}$

Solution Steps

To multiply powers of the same base, add their exponents. Add $-11$ and $20$ to get $9$.

$$\frac{6.7\times 10^{9}\times 2.5\times 3.6\times 10^{15}}{\left(3.35\times 10^{6}\right)^{2}}$$

To multiply powers of the same base, add their exponents. Add $9$ and $15$ to get $24$.

$$\frac{6.7\times 10^{24}\times 2.5\times 3.6}{\left(3.35\times 10^{6}\right)^{2}}$$

Calculate $10$ to the power of $24$ and get $1000000000000000000000000$.

$$\frac{6.7\times 1000000000000000000000000\times 2.5\times 3.6}{\left(3.35\times 10^{6}\right)^{2}}$$

Multiply $6.7$ and $1000000000000000000000000$ to get $6700000000000000000000000$.

$$\frac{6700000000000000000000000\times 2.5\times 3.6}{\left(3.35\times 10^{6}\right)^{2}}$$

Multiply $6700000000000000000000000$ and $2.5$ to get $16750000000000000000000000$.

$$\frac{16750000000000000000000000\times 3.6}{\left(3.35\times 10^{6}\right)^{2}}$$

Multiply $16750000000000000000000000$ and $3.6$ to get $60300000000000000000000000$.

$$\frac{60300000000000000000000000}{\left(3.35\times 10^{6}\right)^{2}}$$

Calculate $10$ to the power of $6$ and get $1000000$.

$$\frac{60300000000000000000000000}{\left(3.35\times 1000000\right)^{2}}$$

Multiply $3.35$ and $1000000$ to get $3350000$.

$$\frac{60300000000000000000000000}{3350000^{2}}$$

Calculate $3350000$ to the power of $2$ and get $11222500000000$.

$$\frac{60300000000000000000000000}{11222500000000}$$

Reduce the fraction $\frac{60300000000000000000000000}{11222500000000}$ to lowest terms by extracting and canceling out $167500000000$.

$$\frac{360000000000000}{67}$$

Factor

$\frac{2 ^ {15} \cdot 3 ^ {2} \cdot 5 ^ {13}}{67} = 5373134328358\frac{14}{67} = 5373134328358.209$