Solve k^370-100 - ScanMath

Question

Simplify the expression

70 k^{3} - 100

Evaluate

k^{3} \times 70 - 100

Solution

70 k^{3} - 100

Show Solution

10 (7 k^{3} - 10)

Evaluate

k^{3} \times 70 - 100

Use the commutative property to reorder the terms

70 k^{3} - 100

Solution

10 (7 k^{3} - 10)

Show Solution

k = \frac{3 490}{7}

Alternative Form

k \approx 1.126248

Evaluate

k^{3} \times 70 - 100

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

k^{3} \times 70 - 100 = 0

Use the commutative property to reorder the terms

70 k^{3} - 100 = 0

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

70 k^{3} = 0 + 100

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

70 k^{3} = 100

Divide both sides

\frac{70 k ^{3}}{70} = \frac{100}{70}

Divide the numbers

k^{3} = \frac{100}{70}

Cancel out the common factor 10

k^{3} = \frac{10}{7}

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

3 k^{3} = 3 \frac{10}{7}

Calculate

k = 3 \frac{10}{7}

Solution

More Steps

Evaluate

3 \frac{10}{7}

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

\frac{3 10}{3 7}

Multiply by the Conjugate

\frac{3 10 \times 3 7 ^{2}}{3 7 \times 3 7 ^{2}}

Simplify

\frac{3 10 \times 3 49}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

310 \times 349

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

3 10 \times 49

Calculate the product

3490

\frac{3 490}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

37 \times 3 7^{2}

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

3 7 \times 7^{2}

Calculate the product

3 7^{3}

Reduce the index of the radical and exponent with 3

7

\frac{3 490}{7}

k = \frac{3 490}{7}

Alternative Form

k \approx 1.126248

Show Solution