Solve 180-1g^413 - ScanMath

Question

Simplify the expression

180 - 13 g^{4}

Evaluate

180 - 1 \times g^{4} \times 13

Solution

More Steps

Evaluate

1 \times g^{4} \times 13

Rewrite the expression

g^{4} \times 13

Use the commutative property to reorder the terms

13 g^{4}

180 - 13 g^{4}

Show Solution

g_{1} = - \frac{4 395460}{13}, g_{2} = \frac{4 395460}{13}

Alternative Form

g_{1} \approx - 1.929, g_{2} \approx 1.929

Evaluate

180 - 1 \times g^{4} \times 13

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

180 - 1 \times g^{4} \times 13 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times g^{4} \times 13

Rewrite the expression

g^{4} \times 13

Use the commutative property to reorder the terms

13 g^{4}

180 - 13 g^{4} = 0

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

- 13 g^{4} = 0 - 180

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

- 13 g^{4} = - 180

Change the signs on both sides of the equation

13 g^{4} = 180

Divide both sides

\frac{13 g ^{4}}{13} = \frac{180}{13}

Divide the numbers

g^{4} = \frac{180}{13}

Take the root of both sides of the equation and remember to use both positive and negative roots

g = \pm 4 \frac{180}{13}

Simplify the expression

More Steps

Evaluate

4 \frac{180}{13}

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

\frac{4 180}{4 13}

Multiply by the Conjugate

\frac{4 180 \times 4 1 3 ^{3}}{4 13 \times 4 1 3 ^{3}}

Simplify

\frac{4 180 \times 4 2197}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

4180 \times 42197

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

4 180 \times 2197

Calculate the product

4395460

\frac{4 395460}{4 13 \times 4 1 3 ^{3}}

Multiply the numbers

More Steps

Evaluate

413 \times 4 1 3^{3}

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

4 13 \times 1 3^{3}

Calculate the product

4 1 3^{4}

Reduce the index of the radical and exponent with 4

13

\frac{4 395460}{13}

g = \pm \frac{4 395460}{13}

Separate the equation into 2 possible cases

g = \frac{4 395460}{13} g = - \frac{4 395460}{13}

Solution

g_{1} = - \frac{4 395460}{13}, g_{2} = \frac{4 395460}{13}

Alternative Form

g_{1} \approx - 1.929, g_{2} \approx 1.929

Show Solution