Solve q = q1 q^2 q^3

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Example problems

Type your math problem... q = q1 q^2 q^3

Question

Solve the equation

q_{1} = 0, q_{2} = 1

Evaluate

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

Multiply the terms

More Steps

Evaluate

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

Rewrite the expression

q \times q^{2} \times q^{3}

Multiply the terms with the same base by adding their exponents

q^{1 + 2 + 3}

Add the numbers

q^{6}

q = q^{6}

Move the expression to the left side

q - q^{6} = 0

Factor the expression

q (1 - q^{5}) = 0

Separate the equation into 2 possible cases

q = 0 1 - q^{5} = 0

Solve the equation

More Steps

Evaluate

1 - q^{5} = 0

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

- q^{5} = 0 - 1

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

- q^{5} = - 1

Change the signs on both sides of the equation

q^{5} = 1

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

5 q^{5} = 51

Calculate

q = 51

Simplify the root

q = 1

q = 0 q = 1

Solution

q_{1} = 0, q_{2} = 1

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