Solve T^5800-1 - ScanMath

Question

Simplify the expression

800 T^{5} - 1

Evaluate

T^{5} \times 800 - 1

Solution

800 T^{5} - 1

Show Solution

T = \frac{5 125}{10}

Alternative Form

T \approx 0.262653

Evaluate

T^{5} \times 800 - 1

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

T^{5} \times 800 - 1 = 0

Use the commutative property to reorder the terms

800 T^{5} - 1 = 0

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

800 T^{5} = 0 + 1

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

800 T^{5} = 1

Divide both sides

\frac{800 T ^{5}}{800} = \frac{1}{800}

Divide the numbers

T^{5} = \frac{1}{800}

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

5 T^{5} = 5 \frac{1}{800}

Calculate

T = 5 \frac{1}{800}

Solution

More Steps

Evaluate

5 \frac{1}{800}

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

\frac{5 1}{5 800}

Simplify the radical expression

\frac{1}{5 800}

Simplify the radical expression

More Steps

Evaluate

5800

Write the expression as a product where the root of one of the factors can be evaluated

5 32 \times 25

Write the number in exponential form with the base of 2

5 2^{5} \times 25

The root of a product is equal to the product of the roots of each factor

5 2^{5} \times 525

Reduce the index of the radical and exponent with 5

2525

\frac{1}{2 5 25}

Multiply by the Conjugate

\frac{5 2 5 ^{4}}{2 5 25 \times 5 2 5 ^{4}}

Simplify

\frac{5 5 125}{2 5 25 \times 5 2 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

2525 \times 5 2 5^{4}

Multiply the terms

2 \times 5^{2}

Multiply the terms

50

\frac{5 5 125}{50}

Cancel out the common factor 5

\frac{5 125}{10}

T = \frac{5 125}{10}

Alternative Form

T \approx 0.262653

Show Solution