Solve 1C^535-1 - ScanMath

Question

Simplify the expression

35 C^{5} - 1

Evaluate

1 \times C^{5} \times 35 - 1

Solution

More Steps

Evaluate

1 \times C^{5} \times 35

Rewrite the expression

C^{5} \times 35

Use the commutative property to reorder the terms

35 C^{5}

35 C^{5} - 1

Show Solution

C = \frac{5 3 5 ^{4}}{35}

Alternative Form

C \approx 0.491119

Evaluate

1 \times C^{5} \times 35 - 1

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

1 \times C^{5} \times 35 - 1 = 0

Multiply the terms

More Steps

Multiply the terms

1 \times C^{5} \times 35

Rewrite the expression

C^{5} \times 35

Use the commutative property to reorder the terms

35 C^{5}

35 C^{5} - 1 = 0

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

35 C^{5} = 0 + 1

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

35 C^{5} = 1

Divide both sides

\frac{35 C ^{5}}{35} = \frac{1}{35}

Divide the numbers

C^{5} = \frac{1}{35}

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

5 C^{5} = 5 \frac{1}{35}

Calculate

C = 5 \frac{1}{35}

Solution

More Steps

Evaluate

5 \frac{1}{35}

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

\frac{5 1}{5 35}

Simplify the radical expression

\frac{1}{5 35}

Multiply by the Conjugate

\frac{5 3 5 ^{4}}{5 35 \times 5 3 5 ^{4}}

Multiply the numbers

More Steps

Evaluate

535 \times 5 3 5^{4}

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

5 35 \times 3 5^{4}

Calculate the product

5 3 5^{5}

Reduce the index of the radical and exponent with 5

35

\frac{5 3 5 ^{4}}{35}

C = \frac{5 3 5 ^{4}}{35}

Alternative Form

C \approx 0.491119

Show Solution