Solve h^5302-12-0

Question

Simplify the expression

302 h^{5} - 12

Evaluate

h^{5} \times 302 - 12 - 0

Use the commutative property to reorder the terms

302 h^{5} - 12 - 0

Solution

302 h^{5} - 12

Show Solution

2 (151 h^{5} - 6)

Evaluate

h^{5} \times 302 - 12 - 0

Use the commutative property to reorder the terms

302 h^{5} - 12 - 0

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

302 h^{5} - 12

Solution

2 (151 h^{5} - 6)

Show Solution

h = \frac{5 6 \times 15 1 ^{4}}{151}

Alternative Form

h \approx 0.524608

Evaluate

h^{5} \times 302 - 12 - 0

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

h^{5} \times 302 - 12 - 0 = 0

Use the commutative property to reorder the terms

302 h^{5} - 12 - 0 = 0

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

302 h^{5} - 12 = 0

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

302 h^{5} = 0 + 12

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

302 h^{5} = 12

Divide both sides

\frac{302 h ^{5}}{302} = \frac{12}{302}

Divide the numbers

h^{5} = \frac{12}{302}

Cancel out the common factor 2

h^{5} = \frac{6}{151}

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

5 h^{5} = 5 \frac{6}{151}

Calculate

h = 5 \frac{6}{151}

Solution

More Steps

Evaluate

5 \frac{6}{151}

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

\frac{5 6}{5 151}

Multiply by the Conjugate

\frac{5 6 \times 5 15 1 ^{4}}{5 151 \times 5 15 1 ^{4}}

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

\frac{5 6 \times 15 1 ^{4}}{5 151 \times 5 15 1 ^{4}}

Multiply the numbers

More Steps

Evaluate

5151 \times 5 15 1^{4}

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

5 151 \times 15 1^{4}

Calculate the product

5 15 1^{5}

Reduce the index of the radical and exponent with 5

151

\frac{5 6 \times 15 1 ^{4}}{151}

h = \frac{5 6 \times 15 1 ^{4}}{151}

Alternative Form

h \approx 0.524608

Show Solution