Basic Math Examples

$5 h^{\frac{3}{2}} - 25 h^{\frac{1}{2}} + 30 h^{- \frac{1}{2}}$

Step 1

Factor $5$ out of $5 h^{\frac{3}{2}} - 25 h^{\frac{1}{2}} + 30 h^{- \frac{1}{2}}$ .

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Step 1.1

Factor $5$ out of $5 h^{\frac{3}{2}}$ .

$5 (h^{\frac{3}{2}}) - 25 h^{\frac{1}{2}} + 30 h^{- \frac{1}{2}}$

Step 1.2

Factor $5$ out of $- 25 h^{\frac{1}{2}}$ .

$5 (h^{\frac{3}{2}}) + 5 (- 5 h^{\frac{1}{2}}) + 30 h^{- \frac{1}{2}}$

Step 1.3

Factor $5$ out of $30 h^{- \frac{1}{2}}$ .

$5 (h^{\frac{3}{2}}) + 5 (- 5 h^{\frac{1}{2}}) + 5 (6 h^{- \frac{1}{2}})$

Step 1.4

Factor $5$ out of $5 (h^{\frac{3}{2}}) + 5 (- 5 h^{\frac{1}{2}})$ .

$5 (h^{\frac{3}{2}} - 5 h^{\frac{1}{2}}) + 5 (6 h^{- \frac{1}{2}})$

Step 1.5

Factor $5$ out of $5 (h^{\frac{3}{2}} - 5 h^{\frac{1}{2}}) + 5 (6 h^{- \frac{1}{2}})$ .

$5 (h^{\frac{3}{2}} - 5 h^{\frac{1}{2}} + 6 h^{- \frac{1}{2}})$

Step 2

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

$5 (h^{\frac{3}{2}} - 5 h^{\frac{1}{2}} + 6 \frac{1}{h^{\frac{1}{2}}})$

Step 3

Combine $6$ and $\frac{1}{h^{\frac{1}{2}}}$ .

$5 (h^{\frac{3}{2}} - 5 h^{\frac{1}{2}} + \frac{6}{h^{\frac{1}{2}}})$