Solve 70-1574 t^38

Question

Simplify the expression

70 - 12592 t^{3}

Evaluate

70 - 1574 t^{3} \times 8

Solution

70 - 12592 t^{3}

Show Solution

2 (35 - 6296 t^{3})

Evaluate

70 - 1574 t^{3} \times 8

Multiply the terms

70 - 12592 t^{3}

Solution

2 (35 - 6296 t^{3})

Show Solution

t = \frac{3 35 \times 78 7 ^{2}}{1574}

Alternative Form

t \approx 0.177147

Evaluate

70 - 1574 t^{3} \times 8

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

70 - 1574 t^{3} \times 8 = 0

Multiply the terms

70 - 12592 t^{3} = 0

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

- 12592 t^{3} = 0 - 70

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

- 12592 t^{3} = - 70

Change the signs on both sides of the equation

12592 t^{3} = 70

Divide both sides

\frac{12592 t ^{3}}{12592} = \frac{70}{12592}

Divide the numbers

t^{3} = \frac{70}{12592}

Cancel out the common factor 2

t^{3} = \frac{35}{6296}

Take the 3 -th root on both sides of the equation

3 t^{3} = 3 \frac{35}{6296}

Calculate

t = 3 \frac{35}{6296}

Solution

More Steps

Evaluate

3 \frac{35}{6296}

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

\frac{3 35}{3 6296}

Simplify the radical expression

More Steps

Evaluate

36296

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

3 8 \times 787

Write the number in exponential form with the base of 2

3 2^{3} \times 787

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

3 2^{3} \times 3787

Reduce the index of the radical and exponent with 3

23787

\frac{3 35}{2 3 787}

Multiply by the Conjugate

\frac{3 35 \times 3 78 7 ^{2}}{2 3 787 \times 3 78 7 ^{2}}

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

\frac{3 35 \times 78 7 ^{2}}{2 3 787 \times 3 78 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

23787 \times 3 78 7^{2}

Multiply the terms

2 \times 787

Multiply the terms

1574

\frac{3 35 \times 78 7 ^{2}}{1574}

t = \frac{3 35 \times 78 7 ^{2}}{1574}

Alternative Form

t \approx 0.177147

Show Solution