Solve a^32-10155200

Question

Simplify the expression

2 a^{3} - 10155200

Evaluate

a^{3} \times 2 - 10155200

Solution

2 a^{3} - 10155200

Show Solution

2 (a^{3} - 5077600)

Evaluate

a^{3} \times 2 - 10155200

Use the commutative property to reorder the terms

2 a^{3} - 10155200

Solution

2 (a^{3} - 5077600)

Show Solution

a = 23634700

Alternative Form

a \approx 171.877685

Evaluate

a^{3} \times 2 - 10155200

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

a^{3} \times 2 - 10155200 = 0

Use the commutative property to reorder the terms

2 a^{3} - 10155200 = 0

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

2 a^{3} = 0 + 10155200

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

2 a^{3} = 10155200

Divide both sides

\frac{2 a ^{3}}{2} = \frac{10155200}{2}

Divide the numbers

a^{3} = \frac{10155200}{2}

Divide the numbers

More Steps

Evaluate

\frac{10155200}{2}

Reduce the numbers

\frac{5077600}{1}

Calculate

5077600

a^{3} = 5077600

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

3 a^{3} = 35077600

Calculate

a = 35077600

Solution

More Steps

Evaluate

35077600

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

3 8 \times 634700

Write the number in exponential form with the base of 2

3 2^{3} \times 634700

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

3 2^{3} \times 3634700

Reduce the index of the radical and exponent with 3

23634700

a = 23634700

Alternative Form

a \approx 171.877685

Show Solution