Solve 1^2c12^2c^23^2c^3

Question

Simplify the expression

1296 c^{6}

Evaluate

1^{2} \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

1 raised to any power equals to 1

1 \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

Rewrite the expression

c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

Multiply the terms with the same base by adding their exponents

c^{1 + 2 + 3} \times 1 2^{2} \times 3^{2}

Add the numbers

c^{6} \times 1 2^{2} \times 3^{2}

Use the commutative property to reorder the terms

1 2^{2} c^{6} \times 3^{2}

Multiply the numbers

More Steps

Evaluate

1 2^{2} \times 3^{2}

Multiply the terms with equal exponents by multiplying their bases

(12 \times 3)^{2}

Multiply the numbers

3 6^{2}

3 6^{2} c^{6}

Solution

1296 c^{6}

Show Solution

c = 0

Evaluate

1^{2} \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

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

1^{2} \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3} = 0

1 raised to any power equals to 1

1 \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3} = 0

Multiply the terms

More Steps

Multiply the terms

1 \times c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

Rewrite the expression

c \times 1 2^{2} c^{2} \times 3^{2} c^{3}

Multiply the terms with the same base by adding their exponents

c^{1 + 2 + 3} \times 1 2^{2} \times 3^{2}

Add the numbers

c^{6} \times 1 2^{2} \times 3^{2}

Use the commutative property to reorder the terms

1 2^{2} c^{6} \times 3^{2}

Multiply the numbers

More Steps

Evaluate

1 2^{2} \times 3^{2}

Multiply the terms with equal exponents by multiplying their bases

(12 \times 3)^{2}

Multiply the numbers

3 6^{2}

3 6^{2} c^{6}

3 6^{2} c^{6} = 0

Rewrite the expression

c^{6} = 0

Solution

c = 0

Show Solution