Basic Math Examples

$- \frac{3}{4} \cdot ({fs}^{3 \div (- 3 s)})$

Step 1

Simplify.

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Step 1.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$\frac{- 3}{4} \cdot {fs}^{3 \div (- 3 s)}$

Step 1.2

Combine $\frac{- 3}{4}$ and ${fs}^{3 \div (- 3 s)}$ .

$\frac{- 3 {fs}^{3 \div (- 3 s)}}{4}$

Step 1.3

Rewrite the division as a fraction.

$\frac{- 3 {fs}^{\frac{3}{- 3 s}}}{4}$

Step 1.4

Cancel the common factor of $3$ and $- 3$ .

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Step 1.4.1

Factor $3$ out of $3$ .

$\frac{- 3 {fs}^{\frac{3 (1)}{- 3 s}}}{4}$

Step 1.4.2

Cancel the common factors.

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Step 1.4.2.1

Factor $3$ out of $- 3 s$ .

$\frac{- 3 {fs}^{\frac{3 (1)}{3 (- s)}}}{4}$

Step 1.4.2.2

Cancel the common factor.

$\frac{- 3 {fs}^{\frac{3 \cdot 1}{3 (- s)}}}{4}$

Step 1.4.2.3

Rewrite the expression.

$\frac{- 3 {fs}^{\frac{1}{- s}}}{4}$

Step 1.5

Cancel the common factor of $1$ and $- 1$ .

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Step 1.5.1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 3 {fs}^{\frac{- 1 (- 1)}{- s}}}{4}$

Step 1.5.2

Move the negative in front of the fraction.

$\frac{- 3 {fs}^{- \frac{1}{s}}}{4}$

Step 2

Move the negative in front of the fraction.

$- \frac{3 {fs}^{- \frac{1}{s}}}{4}$