Solve 116 73 p^58 118/66 p^56 124/73 p^56

Question

Simplify the expression

\frac{4237905996}{803} p^{15}

Evaluate

11673 p^{5} \times 8 \frac{118}{66} \times p^{5} \times 6 \frac{124}{73} \times p^{5} \times 6

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

8 \frac{118}{66}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 66 + 118}{66}

Multiply the terms

\frac{528 + 118}{66}

Add the terms

\frac{646}{66}

11673 p^{5} \times \frac{646}{66} p^{5} \times 6 \frac{124}{73} \times p^{5} \times 6

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{124}{73}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{6 \times 73 + 124}{73}

Multiply the terms

\frac{438 + 124}{73}

Add the terms

\frac{562}{73}

11673 p^{5} \times \frac{646}{66} p^{5} \times \frac{562}{73} p^{5} \times 6

Multiply the terms

More Steps

Evaluate

11673 \times \frac{646}{66} \times \frac{562}{73} \times 6

Multiply the terms

More Steps

Evaluate

11673 \times \frac{646}{66}

Reduce the numbers

3891 \times \frac{646}{22}

Multiply the numbers

\frac{3891 \times 646}{22}

Multiply the numbers

\frac{2513586}{22}

Cancel out the common factor 2

\frac{1256793}{11}

\frac{1256793}{11} \times \frac{562}{73} \times 6

Multiply the terms

More Steps

Evaluate

\frac{1256793}{11} \times \frac{562}{73}

To multiply the fractions,multiply the numerators and denominators separately

\frac{1256793 \times 562}{11 \times 73}

Multiply the numbers

\frac{706317666}{11 \times 73}

Multiply the numbers

\frac{706317666}{803}

\frac{706317666}{803} \times 6

Multiply the numbers

\frac{706317666 \times 6}{803}

Multiply the numbers

\frac{4237905996}{803}

\frac{4237905996}{803} p^{5} \times p^{5} \times p^{5}

Multiply the terms with the same base by adding their exponents

\frac{4237905996}{803} p^{5 + 5 + 5}

Solution

\frac{4237905996}{803} p^{15}

Show Solution

Find the roots

p = 0

Evaluate

11673 p^{5} \times 8 \frac{118}{66} \times p^{5} \times 6 \frac{124}{73} \times p^{5} \times 6

To find the roots of the expression,set the expression equal to 0

11673 p^{5} \times 8 \frac{118}{66} \times p^{5} \times 6 \frac{124}{73} \times p^{5} \times 6 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

8 \frac{118}{66}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{8 \times 66 + 118}{66}

Multiply the terms

\frac{528 + 118}{66}

Add the terms

\frac{646}{66}

11673 p^{5} \times \frac{646}{66} p^{5} \times 6 \frac{124}{73} \times p^{5} \times 6 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

6 \frac{124}{73}

Multiply the denominator of the fraction by the whole number and add the numerator of the fraction

\frac{6 \times 73 + 124}{73}

Multiply the terms

\frac{438 + 124}{73}

Add the terms

\frac{562}{73}

11673 p^{5} \times \frac{646}{66} p^{5} \times \frac{562}{73} p^{5} \times 6 = 0

Multiply

More Steps

Multiply the terms

11673 p^{5} \times \frac{646}{66} p^{5} \times \frac{562}{73} p^{5} \times 6

Multiply the terms

More Steps

Evaluate

11673 \times \frac{646}{66} \times \frac{562}{73} \times 6

Multiply the terms

\frac{1256793}{11} \times \frac{562}{73} \times 6

Multiply the terms

\frac{706317666}{803} \times 6

Multiply the numbers

\frac{706317666 \times 6}{803}

Multiply the numbers

\frac{4237905996}{803}

\frac{4237905996}{803} p^{5} \times p^{5} \times p^{5}

Multiply the terms with the same base by adding their exponents

\frac{4237905996}{803} p^{5 + 5 + 5}

Add the numbers

\frac{4237905996}{803} p^{15}

\frac{4237905996}{803} p^{15} = 0

Rewrite the expression

p^{15} = 0

Solution

p = 0

Show Solution