Solve 8c^2c 9c^4-4

Question

Simplify the expression

72 c^{7} - 4

Evaluate

8 c^{2} \times c \times 9 c^{4} - 4

Solution

More Steps

Evaluate

8 c^{2} \times c \times 9 c^{4}

Multiply the terms

72 c^{2} \times c \times c^{4}

Multiply the terms with the same base by adding their exponents

72 c^{2 + 1 + 4}

Add the numbers

72 c^{7}

72 c^{7} - 4

Show Solution

4 (18 c^{7} - 1)

Evaluate

8 c^{2} \times c \times 9 c^{4} - 4

Multiply

More Steps

Evaluate

8 c^{2} \times c \times 9 c^{4}

Multiply the terms

72 c^{2} \times c \times c^{4}

Multiply the terms with the same base by adding their exponents

72 c^{2 + 1 + 4}

Add the numbers

72 c^{7}

72 c^{7} - 4

Solution

4 (18 c^{7} - 1)

Show Solution

c = \frac{7 1 8 ^{6}}{18}

Alternative Form

c \approx 0.661722

Evaluate

8 c^{2} \times c \times 9 c^{4} - 4

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

8 c^{2} \times c \times 9 c^{4} - 4 = 0

Multiply

More Steps

Multiply the terms

8 c^{2} \times c \times 9 c^{4}

Multiply the terms

72 c^{2} \times c \times c^{4}

Multiply the terms with the same base by adding their exponents

72 c^{2 + 1 + 4}

Add the numbers

72 c^{7}

72 c^{7} - 4 = 0

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

72 c^{7} = 0 + 4

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

72 c^{7} = 4

Divide both sides

\frac{72 c ^{7}}{72} = \frac{4}{72}

Divide the numbers

c^{7} = \frac{4}{72}

Cancel out the common factor 4

c^{7} = \frac{1}{18}

Take the 7 -th root on both sides of the equation

7 c^{7} = 7 \frac{1}{18}

Calculate

c = 7 \frac{1}{18}

Solution

More Steps

Evaluate

7 \frac{1}{18}

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

\frac{7 1}{7 18}

Simplify the radical expression

\frac{1}{7 18}

Multiply by the Conjugate

\frac{7 1 8 ^{6}}{7 18 \times 7 1 8 ^{6}}

Multiply the numbers

More Steps

Evaluate

718 \times 7 1 8^{6}

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

7 18 \times 1 8^{6}

Calculate the product

7 1 8^{7}

Reduce the index of the radical and exponent with 7

18

\frac{7 1 8 ^{6}}{18}

c = \frac{7 1 8 ^{6}}{18}

Alternative Form

c \approx 0.661722

Show Solution