Solve t^513-52-7239553

Question

Simplify the expression

13 t^{5} - 7239605

Evaluate

t^{5} \times 13 - 52 - 7239553

Use the commutative property to reorder the terms

13 t^{5} - 52 - 7239553

Solution

13 t^{5} - 7239605

Show Solution

t = \frac{5 206770358405}{13}

Alternative Form

t \approx 14.097896

Evaluate

t^{5} \times 13 - 52 - 7239553

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

t^{5} \times 13 - 52 - 7239553 = 0

Use the commutative property to reorder the terms

13 t^{5} - 52 - 7239553 = 0

Subtract the numbers

13 t^{5} - 7239605 = 0

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

13 t^{5} = 0 + 7239605

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

13 t^{5} = 7239605

Divide both sides

\frac{13 t ^{5}}{13} = \frac{7239605}{13}

Divide the numbers

t^{5} = \frac{7239605}{13}

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

5 t^{5} = 5 \frac{7239605}{13}

Calculate

t = 5 \frac{7239605}{13}

Solution

More Steps

Evaluate

5 \frac{7239605}{13}

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

\frac{5 7239605}{5 13}

Multiply by the Conjugate

\frac{5 7239605 \times 5 1 3 ^{4}}{5 13 \times 5 1 3 ^{4}}

Simplify

\frac{5 7239605 \times 5 28561}{5 13 \times 5 1 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

57239605 \times 528561

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

5 7239605 \times 28561

Calculate the product

5206770358405

\frac{5 206770358405}{5 13 \times 5 1 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

513 \times 5 1 3^{4}

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

5 13 \times 1 3^{4}

Calculate the product

5 1 3^{5}

Reduce the index of the radical and exponent with 5

13

\frac{5 206770358405}{13}

t = \frac{5 206770358405}{13}

Alternative Form

t \approx 14.097896

Show Solution