Solve g^565-17-400

Question

Simplify the expression

65 g^{5} - 417

Evaluate

g^{5} \times 65 - 17 - 400

Use the commutative property to reorder the terms

65 g^{5} - 17 - 400

Solution

65 g^{5} - 417

Show Solution

g = \frac{5 417 \times 6 5 ^{4}}{65}

Alternative Form

g \approx 1.450256

Evaluate

g^{5} \times 65 - 17 - 400

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

g^{5} \times 65 - 17 - 400 = 0

Use the commutative property to reorder the terms

65 g^{5} - 17 - 400 = 0

Subtract the numbers

65 g^{5} - 417 = 0

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

65 g^{5} = 0 + 417

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

65 g^{5} = 417

Divide both sides

\frac{65 g ^{5}}{65} = \frac{417}{65}

Divide the numbers

g^{5} = \frac{417}{65}

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

5 g^{5} = 5 \frac{417}{65}

Calculate

g = 5 \frac{417}{65}

Solution

More Steps

Evaluate

5 \frac{417}{65}

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

\frac{5 417}{5 65}

Multiply by the Conjugate

\frac{5 417 \times 5 6 5 ^{4}}{5 65 \times 5 6 5 ^{4}}

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

\frac{5 417 \times 6 5 ^{4}}{5 65 \times 5 6 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

565 \times 5 6 5^{4}

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

5 65 \times 6 5^{4}

Calculate the product

5 6 5^{5}

Reduce the index of the radical and exponent with 5

65

\frac{5 417 \times 6 5 ^{4}}{65}

g = \frac{5 417 \times 6 5 ^{4}}{65}

Alternative Form

g \approx 1.450256

Show Solution