Basic Math Examples

$- \frac{1}{2} A^{- \frac{3}{2}} = 0$

Step 1

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{1}{2} A^{- \frac{3}{2}}) = - 2 \cdot 0$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $- 2 (- \frac{1}{2} A^{- \frac{3}{2}})$ .

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Step 2.1.1.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$- 2 (- \frac{1}{2} \cdot \frac{1}{A^{\frac{3}{2}}}) = - 2 \cdot 0$

Step 2.1.1.2

Multiply $\frac{1}{A^{\frac{3}{2}}}$ by $\frac{1}{2}$ .

$- 2 (- \frac{1}{A^{\frac{3}{2}} \cdot 2}) = - 2 \cdot 0$

Step 2.1.1.3

Cancel the common factor of $2$ .

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Step 2.1.1.3.1

Move the leading negative in $- \frac{1}{A^{\frac{3}{2}} \cdot 2}$ into the numerator.

$- 2 \frac{- 1}{A^{\frac{3}{2}} \cdot 2} = - 2 \cdot 0$

Step 2.1.1.3.2

Factor $2$ out of $- 2$ .

$2 \cdot - 1 \frac{- 1}{A^{\frac{3}{2}} \cdot 2} = - 2 \cdot 0$

Step 2.1.1.3.3

Cancel the common factor.

$2 \cdot - 1 \frac{- 1}{A^{\frac{3}{2}} \cdot 2} = - 2 \cdot 0$

Step 2.1.1.3.4

Rewrite the expression.

$- \frac{- 1}{A^{\frac{3}{2}}} = - 2 \cdot 0$

Step 2.1.1.4

Move the negative in front of the fraction.

$- - \frac{1}{A^{\frac{3}{2}}} = - 2 \cdot 0$

Step 2.1.1.5

Multiply $- - \frac{1}{A^{\frac{3}{2}}}$ .

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Step 2.1.1.5.1

Multiply $- 1$ by $- 1$ .

$1 \frac{1}{A^{\frac{3}{2}}} = - 2 \cdot 0$

Step 2.1.1.5.2

Multiply $\frac{1}{A^{\frac{3}{2}}}$ by $1$ .

$\frac{1}{A^{\frac{3}{2}}} = - 2 \cdot 0$

Step 2.2

Simplify the right side.

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Step 2.2.1

Multiply $- 2$ by $0$ .

$\frac{1}{A^{\frac{3}{2}}} = 0$

Step 3

Set the numerator equal to zero.

$1 = 0$

Step 4

Since $1 \neq 0$ , there are no solutions.

No solution