Solve r^232 275/35r^21

Question

Simplify the expression

\frac{279}{7} r^{4}

Evaluate

r^{2} \times 32 \frac{275}{35} \times r^{2} \times 1

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

32 \frac{275}{35}

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

\frac{32 \times 35 + 275}{35}

Multiply the terms

\frac{1120 + 275}{35}

Add the terms

\frac{1395}{35}

r^{2} \times \frac{1395}{35} r^{2} \times 1

Rewrite the expression

r^{2} \times \frac{1395}{35} r^{2}

Multiply the terms with the same base by adding their exponents

r^{2 + 2} \times \frac{1395}{35}

Add the numbers

r^{4} \times \frac{1395}{35}

Solution

More Steps

Evaluate

1 \times \frac{1395}{35}

Any expression multiplied by 1 remains the same

\frac{1395}{35}

Reduce the fraction

\frac{279}{7}

\frac{279}{7} r^{4}

Show Solution

r = 0

Evaluate

r^{2} \times 32 \frac{275}{35} \times r^{2} \times 1

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

r^{2} \times 32 \frac{275}{35} \times r^{2} \times 1 = 0

Covert the mixed number to an improper fraction

More Steps

Convert the expressions

32 \frac{275}{35}

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

\frac{32 \times 35 + 275}{35}

Multiply the terms

\frac{1120 + 275}{35}

Add the terms

\frac{1395}{35}

r^{2} \times \frac{1395}{35} r^{2} \times 1 = 0

Multiply the terms

More Steps

Multiply the terms

r^{2} \times \frac{1395}{35} r^{2} \times 1

Rewrite the expression

r^{2} \times \frac{1395}{35} r^{2}

Multiply the terms with the same base by adding their exponents

r^{2 + 2} \times \frac{1395}{35}

Add the numbers

r^{4} \times \frac{1395}{35}

Use the commutative property to reorder the terms

More Steps

Evaluate

1 \times \frac{1395}{35}

Any expression multiplied by 1 remains the same

\frac{1395}{35}

Reduce the fraction

\frac{279}{7}

\frac{279}{7} r^{4}

\frac{279}{7} r^{4} = 0

Rewrite the expression

r^{4} = 0

Solution

r = 0

Show Solution