Solve h^5294-16 - Socratic AI (ScanMath)

Question

Simplify the expression

294 h^{5} - 16

Evaluate

h^{5} \times 294 - 16

Solution

294 h^{5} - 16

Show Solution

2 (147 h^{5} - 8)

Evaluate

h^{5} \times 294 - 16

Use the commutative property to reorder the terms

294 h^{5} - 16

Solution

2 (147 h^{5} - 8)

Show Solution

h = \frac{5 8 \times 14 7 ^{4}}{147}

Alternative Form

h \approx 0.558669

Evaluate

h^{5} \times 294 - 16

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

h^{5} \times 294 - 16 = 0

Use the commutative property to reorder the terms

294 h^{5} - 16 = 0

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

294 h^{5} = 0 + 16

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

294 h^{5} = 16

Divide both sides

\frac{294 h ^{5}}{294} = \frac{16}{294}

Divide the numbers

h^{5} = \frac{16}{294}

Cancel out the common factor 2

h^{5} = \frac{8}{147}

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

5 h^{5} = 5 \frac{8}{147}

Calculate

h = 5 \frac{8}{147}

Solution

More Steps

Evaluate

5 \frac{8}{147}

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

\frac{5 8}{5 147}

Multiply by the Conjugate

\frac{5 8 \times 5 14 7 ^{4}}{5 147 \times 5 14 7 ^{4}}

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

\frac{5 8 \times 14 7 ^{4}}{5 147 \times 5 14 7 ^{4}}

Multiply the numbers

More Steps

Evaluate

5147 \times 5 14 7^{4}

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

5 147 \times 14 7^{4}

Calculate the product

5 14 7^{5}

Reduce the index of the radical and exponent with 5

147

\frac{5 8 \times 14 7 ^{4}}{147}

h = \frac{5 8 \times 14 7 ^{4}}{147}

Alternative Form

h \approx 0.558669

Show Solution