Solve a1 * v1 = a^2*a^2

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Example problems

Type your math problem... a1 * v1 = a^2*a^2

Question

Solve the equation

Solve for a

Solve for v

a = 0 a = 3 v

Evaluate

a \times 1 \times v \times 1 = a^{2} \times a^{2}

Multiply the terms

a v = a^{2} \times a^{2}

Multiply the terms

More Steps

Evaluate

a^{2} \times a^{2}

Use the product rule a^{n} \times a^{m} = a^{n + m} to simplify the expression

a^{2 + 2}

Add the numbers

a^{4}

a v = a^{4}

Rewrite the expression

v a = a^{4}

Move the expression to the left side

v a - a^{4} = 0

Factor the expression

a (v - a^{3}) = 0

Separate the equation into 2 possible cases

a = 0 v - a^{3} = 0

Solution

More Steps

Evaluate

v - a^{3} = 0

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

- a^{3} = 0 - v

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

- a^{3} = - v

Change the signs on both sides of the equation

a^{3} = v

Take the 3 -th root on both sides of the equation

3 a^{3} = 3 v

Calculate

a = 3 v

a = 0 a = 3 v

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