Solve v^5370-16 - ScanMath

Question

Simplify the expression

370 v^{5} - 16

Evaluate

v^{5} \times 370 - 16

Solution

370 v^{5} - 16

Show Solution

2 (185 v^{5} - 8)

Evaluate

v^{5} \times 370 - 16

Use the commutative property to reorder the terms

370 v^{5} - 16

Solution

2 (185 v^{5} - 8)

Show Solution

v = \frac{5 8 \times 18 5 ^{4}}{185}

Alternative Form

v \approx 0.53356

Evaluate

v^{5} \times 370 - 16

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

v^{5} \times 370 - 16 = 0

Use the commutative property to reorder the terms

370 v^{5} - 16 = 0

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

370 v^{5} = 0 + 16

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

370 v^{5} = 16

Divide both sides

\frac{370 v ^{5}}{370} = \frac{16}{370}

Divide the numbers

v^{5} = \frac{16}{370}

Cancel out the common factor 2

v^{5} = \frac{8}{185}

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

5 v^{5} = 5 \frac{8}{185}

Calculate

v = 5 \frac{8}{185}

Solution

More Steps

Evaluate

5 \frac{8}{185}

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

\frac{5 8}{5 185}

Multiply by the Conjugate

\frac{5 8 \times 5 18 5 ^{4}}{5 185 \times 5 18 5 ^{4}}

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

\frac{5 8 \times 18 5 ^{4}}{5 185 \times 5 18 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5185 \times 5 18 5^{4}

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

5 185 \times 18 5^{4}

Calculate the product

5 18 5^{5}

Reduce the index of the radical and exponent with 5

185

\frac{5 8 \times 18 5 ^{4}}{185}

v = \frac{5 8 \times 18 5 ^{4}}{185}

Alternative Form

v \approx 0.53356

Show Solution