Solve h^5970-16 - ScanMath

Question

Simplify the expression

970 h^{5} - 16

Evaluate

h^{5} \times 970 - 16

Solution

970 h^{5} - 16

Show Solution

2 (485 h^{5} - 8)

Evaluate

h^{5} \times 970 - 16

Use the commutative property to reorder the terms

970 h^{5} - 16

Solution

2 (485 h^{5} - 8)

Show Solution

h = \frac{5 8 \times 48 5 ^{4}}{485}

Alternative Form

h \approx 0.440017

Evaluate

h^{5} \times 970 - 16

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

h^{5} \times 970 - 16 = 0

Use the commutative property to reorder the terms

970 h^{5} - 16 = 0

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

970 h^{5} = 0 + 16

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

970 h^{5} = 16

Divide both sides

\frac{970 h ^{5}}{970} = \frac{16}{970}

Divide the numbers

h^{5} = \frac{16}{970}

Cancel out the common factor 2

h^{5} = \frac{8}{485}

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

5 h^{5} = 5 \frac{8}{485}

Calculate

h = 5 \frac{8}{485}

Solution

More Steps

Evaluate

5 \frac{8}{485}

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

\frac{5 8}{5 485}

Multiply by the Conjugate

\frac{5 8 \times 5 48 5 ^{4}}{5 485 \times 5 48 5 ^{4}}

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

\frac{5 8 \times 48 5 ^{4}}{5 485 \times 5 48 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

5485 \times 5 48 5^{4}

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

5 485 \times 48 5^{4}

Calculate the product

5 48 5^{5}

Reduce the index of the radical and exponent with 5

485

\frac{5 8 \times 48 5 ^{4}}{485}

h = \frac{5 8 \times 48 5 ^{4}}{485}

Alternative Form

h \approx 0.440017

Show Solution