Solve 9-k^3700 - ScanMath

Question

Simplify the expression

9 - 700 k^{3}

Evaluate

9 - k^{3} \times 700

Solution

9 - 700 k^{3}

Show Solution

k = \frac{3 210 0 ^{2}}{700}

Alternative Form

k \approx 0.234269

Evaluate

9 - k^{3} \times 700

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

9 - k^{3} \times 700 = 0

Use the commutative property to reorder the terms

9 - 700 k^{3} = 0

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

- 700 k^{3} = 0 - 9

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

- 700 k^{3} = - 9

Change the signs on both sides of the equation

700 k^{3} = 9

Divide both sides

\frac{700 k ^{3}}{700} = \frac{9}{700}

Divide the numbers

k^{3} = \frac{9}{700}

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

3 k^{3} = 3 \frac{9}{700}

Calculate

k = 3 \frac{9}{700}

Solution

More Steps

Evaluate

3 \frac{9}{700}

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

\frac{3 9}{3 700}

Multiply by the Conjugate

\frac{3 9 \times 3 70 0 ^{2}}{3 700 \times 3 70 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

39 \times 3 70 0^{2}

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

3 9 \times 70 0^{2}

Calculate the product

3 210 0^{2}

\frac{3 210 0 ^{2}}{3 700 \times 3 70 0 ^{2}}

Multiply the numbers

More Steps

Evaluate

3700 \times 3 70 0^{2}

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

3 700 \times 70 0^{2}

Calculate the product

3 70 0^{3}

Reduce the index of the radical and exponent with 3

700

\frac{3 210 0 ^{2}}{700}

k = \frac{3 210 0 ^{2}}{700}

Alternative Form

k \approx 0.234269

Show Solution