Solve c^59717553/6-17

Question

Simplify the expression

\frac{9717553}{6} c^{5} - 17

Evaluate

c^{5} \times \frac{9717553}{6} - 17

Solution

\frac{9717553}{6} c^{5} - 17

Show Solution

\frac{1}{6} (9717553 c^{5} - 102)

Evaluate

c^{5} \times \frac{9717553}{6} - 17

Use the commutative property to reorder the terms

\frac{9717553}{6} c^{5} - 17

Solution

\frac{1}{6} (9717553 c^{5} - 102)

Show Solution

c = \frac{5 102 \times 971755 3 ^{4}}{9717553}

Alternative Form

c \approx 0.100974

Evaluate

c^{5} \times \frac{9717553}{6} - 17

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

c^{5} \times \frac{9717553}{6} - 17 = 0

Use the commutative property to reorder the terms

\frac{9717553}{6} c^{5} - 17 = 0

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

\frac{9717553}{6} c^{5} = 0 + 17

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

\frac{9717553}{6} c^{5} = 17

Multiply by the reciprocal

\frac{9717553}{6} c^{5} \times \frac{6}{9717553} = 17 \times \frac{6}{9717553}

Multiply

c^{5} = 17 \times \frac{6}{9717553}

Multiply

More Steps

Evaluate

17 \times \frac{6}{9717553}

Multiply the numbers

\frac{17 \times 6}{9717553}

Multiply the numbers

\frac{102}{9717553}

c^{5} = \frac{102}{9717553}

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

5 c^{5} = 5 \frac{102}{9717553}

Calculate

c = 5 \frac{102}{9717553}

Solution

More Steps

Evaluate

5 \frac{102}{9717553}

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

\frac{5 102}{5 9717553}

Multiply by the Conjugate

\frac{5 102 \times 5 971755 3 ^{4}}{5 9717553 \times 5 971755 3 ^{4}}

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

\frac{5 102 \times 971755 3 ^{4}}{5 9717553 \times 5 971755 3 ^{4}}

Multiply the numbers

More Steps

Evaluate

59717553 \times 5 971755 3^{4}

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

5 9717553 \times 971755 3^{4}

Calculate the product

5 971755 3^{5}

Reduce the index of the radical and exponent with 5

9717553

\frac{5 102 \times 971755 3 ^{4}}{9717553}

c = \frac{5 102 \times 971755 3 ^{4}}{9717553}

Alternative Form

c \approx 0.100974

Show Solution