Solve M^3500-9 - ScanMath

Question

Simplify the expression

500 M^{3} - 9

Evaluate

M^{3} \times 500 - 9

Solution

500 M^{3} - 9

Show Solution

M = \frac{3 18}{10}

Alternative Form

M \approx 0.262074

Evaluate

M^{3} \times 500 - 9

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

M^{3} \times 500 - 9 = 0

Use the commutative property to reorder the terms

500 M^{3} - 9 = 0

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

500 M^{3} = 0 + 9

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

500 M^{3} = 9

Divide both sides

\frac{500 M ^{3}}{500} = \frac{9}{500}

Divide the numbers

M^{3} = \frac{9}{500}

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

3 M^{3} = 3 \frac{9}{500}

Calculate

M = 3 \frac{9}{500}

Solution

More Steps

Evaluate

3 \frac{9}{500}

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

\frac{3 9}{3 500}

Simplify the radical expression

More Steps

Evaluate

3500

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

3 125 \times 4

Write the number in exponential form with the base of 5

3 5^{3} \times 4

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

3 5^{3} \times 34

Reduce the index of the radical and exponent with 3

534

\frac{3 9}{5 3 4}

Multiply by the Conjugate

\frac{3 9 \times 3 4 ^{2}}{5 3 4 \times 3 4 ^{2}}

Simplify

\frac{3 9 \times 2 3 2}{5 3 4 \times 3 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 232

Multiply the terms

318 \times 2

Use the commutative property to reorder the terms

2318

\frac{2 3 18}{5 3 4 \times 3 4 ^{2}}

Multiply the numbers

More Steps

Evaluate

534 \times 3 4^{2}

Multiply the terms

5 \times 2^{2}

Multiply the terms

20

\frac{2 3 18}{20}

Cancel out the common factor 2

\frac{3 18}{10}

M = \frac{3 18}{10}

Alternative Form

M \approx 0.262074

Show Solution