Solve h^5590-9 - ScanMath

Question

Simplify the expression

590 h^{5} - 9

Evaluate

h^{5} \times 590 - 9

Solution

590 h^{5} - 9

Show Solution

h = \frac{5 9 \times 59 0 ^{4}}{590}

Alternative Form

h \approx 0.43319

Evaluate

h^{5} \times 590 - 9

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

h^{5} \times 590 - 9 = 0

Use the commutative property to reorder the terms

590 h^{5} - 9 = 0

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

590 h^{5} = 0 + 9

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

590 h^{5} = 9

Divide both sides

\frac{590 h ^{5}}{590} = \frac{9}{590}

Divide the numbers

h^{5} = \frac{9}{590}

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

5 h^{5} = 5 \frac{9}{590}

Calculate

h = 5 \frac{9}{590}

Solution

More Steps

Evaluate

5 \frac{9}{590}

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

\frac{5 9}{5 590}

Multiply by the Conjugate

\frac{5 9 \times 5 59 0 ^{4}}{5 590 \times 5 59 0 ^{4}}

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

\frac{5 9 \times 59 0 ^{4}}{5 590 \times 5 59 0 ^{4}}

Multiply the numbers

More Steps

Evaluate

5590 \times 5 59 0^{4}

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

5 590 \times 59 0^{4}

Calculate the product

5 59 0^{5}

Reduce the index of the radical and exponent with 5

590

\frac{5 9 \times 59 0 ^{4}}{590}

h = \frac{5 9 \times 59 0 ^{4}}{590}

Alternative Form

h \approx 0.43319

Show Solution