Solve f^625-30-0 - ScanMath

Question

Simplify the expression

25 f^{6} - 30

Evaluate

f^{6} \times 25 - 30 - 0

Use the commutative property to reorder the terms

25 f^{6} - 30 - 0

Solution

25 f^{6} - 30

Show Solution

5 (5 f^{6} - 6)

Evaluate

f^{6} \times 25 - 30 - 0

Use the commutative property to reorder the terms

25 f^{6} - 30 - 0

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

25 f^{6} - 30

Solution

5 (5 f^{6} - 6)

Show Solution

f_{1} = - \frac{6 18750}{5}, f_{2} = \frac{6 18750}{5}

Alternative Form

f_{1} \approx - 1.030853, f_{2} \approx 1.030853

Evaluate

f^{6} \times 25 - 30 - 0

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

f^{6} \times 25 - 30 - 0 = 0

Use the commutative property to reorder the terms

25 f^{6} - 30 - 0 = 0

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

25 f^{6} - 30 = 0

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

25 f^{6} = 0 + 30

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

25 f^{6} = 30

Divide both sides

\frac{25 f ^{6}}{25} = \frac{30}{25}

Divide the numbers

f^{6} = \frac{30}{25}

Cancel out the common factor 5

f^{6} = \frac{6}{5}

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

f = \pm 6 \frac{6}{5}

Simplify the expression

More Steps

Evaluate

6 \frac{6}{5}

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

\frac{6 6}{6 5}

Multiply by the Conjugate

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

Simplify

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

Multiply the numbers

More Steps

Evaluate

66 \times 63125

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

6 6 \times 3125

Calculate the product

618750

\frac{6 18750}{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 18750}{5}

f = \pm \frac{6 18750}{5}

Separate the equation into 2 possible cases

f = \frac{6 18750}{5} f = - \frac{6 18750}{5}

Solution

f_{1} = - \frac{6 18750}{5}, f_{2} = \frac{6 18750}{5}

Alternative Form

f_{1} \approx - 1.030853, f_{2} \approx 1.030853

Show Solution