Solve a^370-900 - ScanMath

Question

Simplify the expression

70 a^{3} - 900

Evaluate

a^{3} \times 70 - 900

Solution

70 a^{3} - 900

Show Solution

10 (7 a^{3} - 90)

Evaluate

a^{3} \times 70 - 900

Use the commutative property to reorder the terms

70 a^{3} - 900

Solution

10 (7 a^{3} - 90)

Show Solution

a = \frac{3 4410}{7}

Alternative Form

a \approx 2.34269

Evaluate

a^{3} \times 70 - 900

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

a^{3} \times 70 - 900 = 0

Use the commutative property to reorder the terms

70 a^{3} - 900 = 0

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

70 a^{3} = 0 + 900

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

70 a^{3} = 900

Divide both sides

\frac{70 a ^{3}}{70} = \frac{900}{70}

Divide the numbers

a^{3} = \frac{900}{70}

Cancel out the common factor 10

a^{3} = \frac{90}{7}

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

3 a^{3} = 3 \frac{90}{7}

Calculate

a = 3 \frac{90}{7}

Solution

More Steps

Evaluate

3 \frac{90}{7}

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

\frac{3 90}{3 7}

Multiply by the Conjugate

\frac{3 90 \times 3 7 ^{2}}{3 7 \times 3 7 ^{2}}

Simplify

\frac{3 90 \times 3 49}{3 7 \times 3 7 ^{2}}

Multiply the numbers

More Steps

Evaluate

390 \times 349

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

3 90 \times 49

Calculate the product

34410

\frac{3 4410}{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 4410}{7}

a = \frac{3 4410}{7}

Alternative Form

a \approx 2.34269

Show Solution