Solve 45r^5033- 48

Question

Simplify the expression

1485 r^{5} - 48

Evaluate

45 r^{5} \times 33 - 48

Solution

1485 r^{5} - 48

Show Solution

3 (495 r^{5} - 16)

Evaluate

45 r^{5} \times 33 - 48

Multiply the terms

1485 r^{5} - 48

Solution

3 (495 r^{5} - 16)

Show Solution

r = \frac{5 99 0 ^{4}}{495}

Alternative Form

r \approx 0.503388

Evaluate

45 r^{5} \times 33 - 48

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

45 r^{5} \times 33 - 48 = 0

Multiply the terms

1485 r^{5} - 48 = 0

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

1485 r^{5} = 0 + 48

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

1485 r^{5} = 48

Divide both sides

\frac{1485 r ^{5}}{1485} = \frac{48}{1485}

Divide the numbers

r^{5} = \frac{48}{1485}

Cancel out the common factor 3

r^{5} = \frac{16}{495}

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

5 r^{5} = 5 \frac{16}{495}

Calculate

r = 5 \frac{16}{495}

Solution

More Steps

Evaluate

5 \frac{16}{495}

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

\frac{5 16}{5 495}

Multiply by the Conjugate

\frac{5 16 \times 5 49 5 ^{4}}{5 495 \times 5 49 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

516 \times 5 49 5^{4}

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

5 16 \times 49 5^{4}

Calculate the product

5 99 0^{4}

\frac{5 99 0 ^{4}}{5 495 \times 5 49 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5495 \times 5 49 5^{4}

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

5 495 \times 49 5^{4}

Calculate the product

5 49 5^{5}

Reduce the index of the radical and exponent with 5

495

\frac{5 99 0 ^{4}}{495}

r = \frac{5 99 0 ^{4}}{495}

Alternative Form

r \approx 0.503388

Show Solution