Solve APPROPRIATPROPERTY(17)/(50)\times(12)/(26)\times(25)/(34)\times(13)/(24) | 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

$$APPROPRIATPROPERTY \frac{ 17 }{ 50 } \times \frac{ 12 }{ 26 } \times \frac{ 25 }{ 34 } \times \frac{ 13 }{ 24 }$$

Evaluate

$\frac{EIYR^{4}P^{5}\left(AOT\right)^{2}}{16}$

Solution Steps

Multiply $A$ and $A$ to get $A^{2}$.

$$A^{2}PPROPRITPROPERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $P$ and $P$ to get $P^{2}$.

$$A^{2}P^{2}ROPRITPROPERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$A^{2}P^{3}RORITPROPERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$A^{2}P^{4}RORITROPERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

To multiply powers of the same base, add their exponents. Add $4$ and $1$ to get $5$.

$$A^{2}P^{5}RORITROERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $R$ and $R$ to get $R^{2}$.

$$A^{2}P^{5}R^{2}OITROERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

To multiply powers of the same base, add their exponents. Add $2$ and $1$ to get $3$.

$$A^{2}P^{5}R^{3}OITOERTY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

To multiply powers of the same base, add their exponents. Add $3$ and $1$ to get $4$.

$$A^{2}P^{5}R^{4}OITOETY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $O$ and $O$ to get $O^{2}$.

$$A^{2}P^{5}R^{4}O^{2}ITETY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $T$ and $T$ to get $T^{2}$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{17}{50}\times \frac{12}{26}\times \frac{25}{34}\times \frac{13}{24}$$

Reduce the fraction $\frac{12}{26}$ to lowest terms by extracting and canceling out $2$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{17}{50}\times \frac{6}{13}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $\frac{17}{50}$ times $\frac{6}{13}$ by multiplying numerator times numerator and denominator times denominator.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{17\times 6}{50\times 13}\times \frac{25}{34}\times \frac{13}{24}$$

Do the multiplications in the fraction $\frac{17\times 6}{50\times 13}$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{102}{650}\times \frac{25}{34}\times \frac{13}{24}$$

Reduce the fraction $\frac{102}{650}$ to lowest terms by extracting and canceling out $2$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{51}{325}\times \frac{25}{34}\times \frac{13}{24}$$

Multiply $\frac{51}{325}$ times $\frac{25}{34}$ by multiplying numerator times numerator and denominator times denominator.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{51\times 25}{325\times 34}\times \frac{13}{24}$$

Do the multiplications in the fraction $\frac{51\times 25}{325\times 34}$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{1275}{11050}\times \frac{13}{24}$$

Reduce the fraction $\frac{1275}{11050}$ to lowest terms by extracting and canceling out $425$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{3}{26}\times \frac{13}{24}$$

Multiply $\frac{3}{26}$ times $\frac{13}{24}$ by multiplying numerator times numerator and denominator times denominator.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{3\times 13}{26\times 24}$$

Do the multiplications in the fraction $\frac{3\times 13}{26\times 24}$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{39}{624}$$

Reduce the fraction $\frac{39}{624}$ to lowest terms by extracting and canceling out $39$.

$$A^{2}P^{5}R^{4}O^{2}IT^{2}EY\times \frac{1}{16}$$

Differentiate w.r.t. I

$\frac{EYR^{4}P^{5}\left(AOT\right)^{2}}{16}$