Solve h^5932-9 - ScanMath

Question

Simplify the expression

932 h^{5} - 9

Evaluate

h^{5} \times 932 - 9

Solution

932 h^{5} - 9

Show Solution

h = \frac{5 9 \times 93 2 ^{4}}{932}

Alternative Form

h \approx 0.395335

Evaluate

h^{5} \times 932 - 9

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

h^{5} \times 932 - 9 = 0

Use the commutative property to reorder the terms

932 h^{5} - 9 = 0

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

932 h^{5} = 0 + 9

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

932 h^{5} = 9

Divide both sides

\frac{932 h ^{5}}{932} = \frac{9}{932}

Divide the numbers

h^{5} = \frac{9}{932}

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

5 h^{5} = 5 \frac{9}{932}

Calculate

h = 5 \frac{9}{932}

Solution

More Steps

Evaluate

5 \frac{9}{932}

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

\frac{5 9}{5 932}

Multiply by the Conjugate

\frac{5 9 \times 5 93 2 ^{4}}{5 932 \times 5 93 2 ^{4}}

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

\frac{5 9 \times 93 2 ^{4}}{5 932 \times 5 93 2 ^{4}}

Multiply the numbers

More Steps

Evaluate

5932 \times 5 93 2^{4}

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

5 932 \times 93 2^{4}

Calculate the product

5 93 2^{5}

Reduce the index of the radical and exponent with 5

932

\frac{5 9 \times 93 2 ^{4}}{932}

h = \frac{5 9 \times 93 2 ^{4}}{932}

Alternative Form

h \approx 0.395335

Show Solution