Solve 25600-2g^560

Question

Simplify the expression

25600 - 120 g^{5}

Evaluate

25600 - 2 g^{5} \times 60

Solution

25600 - 120 g^{5}

Show Solution

40 (640 - 3 g^{5})

Evaluate

25600 - 2 g^{5} \times 60

Multiply the terms

25600 - 120 g^{5}

Solution

40 (640 - 3 g^{5})

Show Solution

g = \frac{2 5 1620}{3}

Alternative Form

g \approx 2.922885

Evaluate

25600 - 2 g^{5} \times 60

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

25600 - 2 g^{5} \times 60 = 0

Multiply the terms

25600 - 120 g^{5} = 0

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

- 120 g^{5} = 0 - 25600

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

- 120 g^{5} = - 25600

Change the signs on both sides of the equation

120 g^{5} = 25600

Divide both sides

\frac{120 g ^{5}}{120} = \frac{25600}{120}

Divide the numbers

g^{5} = \frac{25600}{120}

Cancel out the common factor 40

g^{5} = \frac{640}{3}

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

5 g^{5} = 5 \frac{640}{3}

Calculate

g = 5 \frac{640}{3}

Solution

More Steps

Evaluate

5 \frac{640}{3}

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

\frac{5 640}{5 3}

Simplify the radical expression

More Steps

Evaluate

5640

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

5 32 \times 20

Write the number in exponential form with the base of 2

5 2^{5} \times 20

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

5 2^{5} \times 520

Reduce the index of the radical and exponent with 5

2520

\frac{2 5 20}{5 3}

Multiply by the Conjugate

\frac{2 5 20 \times 5 3 ^{4}}{5 3 \times 5 3 ^{4}}

Simplify

\frac{2 5 20 \times 5 81}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

520 \times 581

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

5 20 \times 81

Calculate the product

51620

\frac{2 5 1620}{5 3 \times 5 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

53 \times 5 3^{4}

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

5 3 \times 3^{4}

Calculate the product

5 3^{5}

Reduce the index of the radical and exponent with 5

3

\frac{2 5 1620}{3}

g = \frac{2 5 1620}{3}

Alternative Form

g \approx 2.922885

Show Solution