Solve h^5420-16 - ScanMath

Question

Simplify the expression

420 h^{5} - 16

Evaluate

h^{5} \times 420 - 16

Solution

420 h^{5} - 16

Show Solution

4 (105 h^{5} - 4)

Evaluate

h^{5} \times 420 - 16

Use the commutative property to reorder the terms

420 h^{5} - 16

Solution

4 (105 h^{5} - 4)

Show Solution

h = \frac{5 4 \times 10 5 ^{4}}{105}

Alternative Form

h \approx 0.520205

Evaluate

h^{5} \times 420 - 16

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

h^{5} \times 420 - 16 = 0

Use the commutative property to reorder the terms

420 h^{5} - 16 = 0

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

420 h^{5} = 0 + 16

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

420 h^{5} = 16

Divide both sides

\frac{420 h ^{5}}{420} = \frac{16}{420}

Divide the numbers

h^{5} = \frac{16}{420}

Cancel out the common factor 4

h^{5} = \frac{4}{105}

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

5 h^{5} = 5 \frac{4}{105}

Calculate

h = 5 \frac{4}{105}

Solution

More Steps

Evaluate

5 \frac{4}{105}

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

\frac{5 4}{5 105}

Multiply by the Conjugate

\frac{5 4 \times 5 10 5 ^{4}}{5 105 \times 5 10 5 ^{4}}

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

\frac{5 4 \times 10 5 ^{4}}{5 105 \times 5 10 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5105 \times 5 10 5^{4}

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

5 105 \times 10 5^{4}

Calculate the product

5 10 5^{5}

Reduce the index of the radical and exponent with 5

105

\frac{5 4 \times 10 5 ^{4}}{105}

h = \frac{5 4 \times 10 5 ^{4}}{105}

Alternative Form

h \approx 0.520205

Show Solution