Solve g^660-1-23 - ScanMath

Question

Simplify the expression

60 g^{6} - 24

Evaluate

g^{6} \times 60 - 1 - 23

Use the commutative property to reorder the terms

60 g^{6} - 1 - 23

Solution

60 g^{6} - 24

Show Solution

12 (5 g^{6} - 2)

Evaluate

g^{6} \times 60 - 1 - 23

Use the commutative property to reorder the terms

60 g^{6} - 1 - 23

Subtract the numbers

60 g^{6} - 24

Solution

12 (5 g^{6} - 2)

Show Solution

g_{1} = - \frac{6 6250}{5}, g_{2} = \frac{6 6250}{5}

Alternative Form

g_{1} \approx - 0.858374, g_{2} \approx 0.858374

Evaluate

g^{6} \times 60 - 1 - 23

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

g^{6} \times 60 - 1 - 23 = 0

Use the commutative property to reorder the terms

60 g^{6} - 1 - 23 = 0

Subtract the numbers

60 g^{6} - 24 = 0

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

60 g^{6} = 0 + 24

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

60 g^{6} = 24

Divide both sides

\frac{60 g ^{6}}{60} = \frac{24}{60}

Divide the numbers

g^{6} = \frac{24}{60}

Cancel out the common factor 12

g^{6} = \frac{2}{5}

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

g = \pm 6 \frac{2}{5}

Simplify the expression

More Steps

Evaluate

6 \frac{2}{5}

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

\frac{6 2}{6 5}

Multiply by the Conjugate

\frac{6 2 \times 6 5 ^{5}}{6 5 \times 6 5 ^{5}}

Simplify

\frac{6 2 \times 6 3125}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

62 \times 63125

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

6 2 \times 3125

Calculate the product

66250

\frac{6 6250}{6 5 \times 6 5 ^{5}}

Multiply the numbers

More Steps

Evaluate

65 \times 6 5^{5}

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

6 5 \times 5^{5}

Calculate the product

6 5^{6}

Reduce the index of the radical and exponent with 6

5

\frac{6 6250}{5}

g = \pm \frac{6 6250}{5}

Separate the equation into 2 possible cases

g = \frac{6 6250}{5} g = - \frac{6 6250}{5}

Solution

g_{1} = - \frac{6 6250}{5}, g_{2} = \frac{6 6250}{5}

Alternative Form

g_{1} \approx - 0.858374, g_{2} \approx 0.858374

Show Solution