Solve 45r^503-3048

Question

Simplify the expression

135 r^{5} - 3048

Evaluate

45 r^{5} \times 3 - 3048

Solution

135 r^{5} - 3048

Show Solution

3 (45 r^{5} - 1016)

Evaluate

45 r^{5} \times 3 - 3048

Multiply the terms

135 r^{5} - 3048

Solution

3 (45 r^{5} - 1016)

Show Solution

r = \frac{5 1016 \times 4 5 ^{4}}{45}

Alternative Form

r \approx 1.865247

Evaluate

45 r^{5} \times 3 - 3048

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

45 r^{5} \times 3 - 3048 = 0

Multiply the terms

135 r^{5} - 3048 = 0

Move the constant to the right-hand side and change its sign

135 r^{5} = 0 + 3048

Removing 0 doesn't change the value,so remove it from the expression

135 r^{5} = 3048

Divide both sides

\frac{135 r ^{5}}{135} = \frac{3048}{135}

Divide the numbers

r^{5} = \frac{3048}{135}

Cancel out the common factor 3

r^{5} = \frac{1016}{45}

Take the 5 -th root on both sides of the equation

5 r^{5} = 5 \frac{1016}{45}

Calculate

r = 5 \frac{1016}{45}

Solution

More Steps

Evaluate

5 \frac{1016}{45}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{5 1016}{5 45}

Multiply by the Conjugate

\frac{5 1016 \times 5 4 5 ^{4}}{5 45 \times 5 4 5 ^{4}}

The product of roots with the same index is equal to the root of the product

\frac{5 1016 \times 4 5 ^{4}}{5 45 \times 5 4 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

545 \times 5 4 5^{4}

The product of roots with the same index is equal to the root of the product

5 45 \times 4 5^{4}

Calculate the product

5 4 5^{5}

Reduce the index of the radical and exponent with 5

45

\frac{5 1016 \times 4 5 ^{4}}{45}

r = \frac{5 1016 \times 4 5 ^{4}}{45}

Alternative Form

r \approx 1.865247

Show Solution