Solve 165/55r14 165/55r14 165/55r14

Question

Simplify the expression

12138 r^{3}

Evaluate

\frac{165}{55} r \times 14 \frac{165}{55} \times r \times 14 \frac{165}{55} \times r \times 14

Rewrite the expression in exponential form

\frac{165}{55} r^{3} \times 14 \frac{165}{55} \times 14 \frac{165}{55} \times 14

Divide the terms

More Steps

Evaluate

\frac{165}{55}

Reduce the numbers

\frac{3}{1}

Calculate

3

3 r^{3} \times 14 \frac{165}{55} \times 14 \frac{165}{55} \times 14

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{165}{55}

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

\frac{14 \times 55 + 165}{55}

Multiply the terms

\frac{770 + 165}{55}

Add the terms

\frac{935}{55}

3 r^{3} \times \frac{935}{55} \times 14 \frac{165}{55} \times 14

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{165}{55}

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

\frac{14 \times 55 + 165}{55}

Multiply the terms

\frac{770 + 165}{55}

Add the terms

\frac{935}{55}

3 r^{3} \times \frac{935}{55} \times \frac{935}{55} \times 14

Solution

More Steps

Evaluate

3 \times \frac{935}{55} \times \frac{935}{55} \times 14

Multiply the terms

More Steps

Evaluate

3 \times \frac{935}{55}

Multiply the numbers

\frac{3 \times 935}{55}

Multiply the numbers

\frac{2805}{55}

Cancel out the common factor 55

51

51 \times \frac{935}{55} \times 14

Multiply the terms

More Steps

Evaluate

51 \times \frac{935}{55}

Multiply the numbers

\frac{51 \times 935}{55}

Multiply the numbers

\frac{47685}{55}

Cancel out the common factor 55

867

867 \times 14

Multiply the numbers

12138

12138 r^{3}

Show Solution

Find the roots

r = 0

Evaluate

\frac{165}{55} r \times 14 \frac{165}{55} \times r \times 14 \frac{165}{55} \times r \times 14

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

\frac{165}{55} r \times 14 \frac{165}{55} \times r \times 14 \frac{165}{55} \times r \times 14 = 0

Divide the terms

More Steps

Evaluate

\frac{165}{55}

Reduce the numbers

\frac{3}{1}

Calculate

3

3 r \times 14 \frac{165}{55} \times r \times 14 \frac{165}{55} \times r \times 14 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{165}{55}

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

\frac{14 \times 55 + 165}{55}

Multiply the terms

\frac{770 + 165}{55}

Add the terms

\frac{935}{55}

3 r \times \frac{935}{55} r \times 14 \frac{165}{55} \times r \times 14 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

14 \frac{165}{55}

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

\frac{14 \times 55 + 165}{55}

Multiply the terms

\frac{770 + 165}{55}

Add the terms

\frac{935}{55}

3 r \times \frac{935}{55} r \times \frac{935}{55} r \times 14 = 0

Multiply

More Steps

Multiply the terms

3 r \times \frac{935}{55} r \times \frac{935}{55} r \times 14

Multiply the terms

More Steps

Evaluate

3 \times \frac{935}{55} \times \frac{935}{55} \times 14

Multiply the terms

51 \times \frac{935}{55} \times 14

Multiply the terms

867 \times 14

Multiply the numbers

12138

12138 r \times r \times r

Multiply the terms with the same base by adding their exponents

12138 r^{1 + 1 + 1}

Add the numbers

12138 r^{3}

12138 r^{3} = 0

Rewrite the expression

r^{3} = 0

Solution

r = 0

Show Solution