Solve Mr3-86 PHes. and the your | 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

$$\frac { 10 ^ { \circ } } { 98 ^ { \circ } \times \frac { 64 ^ { \circ } \times 6 ^ { \circ } } { 20 ^ { 2 } \times 24 ^ { 2 } } \cdot 8 ^ { 2 } + 4 ^ { 2 } \times 18 ^ { 2 } }$$

Evaluate

$\frac{375}{194792}\approx 0.00192513$

Solution Steps

Multiply $64$ and $6$ to get $384$.

$$\frac{10}{98\times \frac{384}{20^{2}\times 24^{2}}\times 8^{2}+4^{2}\times 18^{2}}$$

Calculate $20$ to the power of $2$ and get $400$.

$$\frac{10}{98\times \frac{384}{400\times 24^{2}}\times 8^{2}+4^{2}\times 18^{2}}$$

Calculate $24$ to the power of $2$ and get $576$.

$$\frac{10}{98\times \frac{384}{400\times 576}\times 8^{2}+4^{2}\times 18^{2}}$$

Multiply $400$ and $576$ to get $230400$.

$$\frac{10}{98\times \frac{384}{230400}\times 8^{2}+4^{2}\times 18^{2}}$$

Reduce the fraction $\frac{384}{230400}$ to lowest terms by extracting and canceling out $384$.

$$\frac{10}{98\times \frac{1}{600}\times 8^{2}+4^{2}\times 18^{2}}$$

Multiply $98$ and $\frac{1}{600}$ to get $\frac{98}{600}$.

$$\frac{10}{\frac{98}{600}\times 8^{2}+4^{2}\times 18^{2}}$$

Reduce the fraction $\frac{98}{600}$ to lowest terms by extracting and canceling out $2$.

$$\frac{10}{\frac{49}{300}\times 8^{2}+4^{2}\times 18^{2}}$$

Calculate $8$ to the power of $2$ and get $64$.

$$\frac{10}{\frac{49}{300}\times 64+4^{2}\times 18^{2}}$$

Express $\frac{49}{300}\times 64$ as a single fraction.

$$\frac{10}{\frac{49\times 64}{300}+4^{2}\times 18^{2}}$$

Multiply $49$ and $64$ to get $3136$.

$$\frac{10}{\frac{3136}{300}+4^{2}\times 18^{2}}$$

Reduce the fraction $\frac{3136}{300}$ to lowest terms by extracting and canceling out $4$.

$$\frac{10}{\frac{784}{75}+4^{2}\times 18^{2}}$$

Calculate $4$ to the power of $2$ and get $16$.

$$\frac{10}{\frac{784}{75}+16\times 18^{2}}$$

Calculate $18$ to the power of $2$ and get $324$.

$$\frac{10}{\frac{784}{75}+16\times 324}$$

Multiply $16$ and $324$ to get $5184$.

$$\frac{10}{\frac{784}{75}+5184}$$

Convert $5184$ to fraction $\frac{388800}{75}$.

$$\frac{10}{\frac{784}{75}+\frac{388800}{75}}$$

Since $\frac{784}{75}$ and $\frac{388800}{75}$ have the same denominator, add them by adding their numerators.

$$\frac{10}{\frac{784+388800}{75}}$$

Add $784$ and $388800$ to get $389584$.

$$\frac{10}{\frac{389584}{75}}$$

Divide $10$ by $\frac{389584}{75}$ by multiplying $10$ by the reciprocal of $\frac{389584}{75}$.

$$10\times \frac{75}{389584}$$

Express $10\times \frac{75}{389584}$ as a single fraction.

$$\frac{10\times 75}{389584}$$

Multiply $10$ and $75$ to get $750$.

$$\frac{750}{389584}$$

Reduce the fraction $\frac{750}{389584}$ to lowest terms by extracting and canceling out $2$.

$$\frac{375}{194792}$$

Factor

$\frac{3 \cdot 5 ^ {3}}{2 ^ {3} \cdot 13 \cdot 1873} = 0.0019251303954987884$