Finite Math Examples

$\frac{6000 a^{0.006}}{0.009 a^{400}}$

Step 1

Move $a^{0.006}$ to the denominator using the negative exponent rule $b^{n} = \frac{1}{b^{- n}}$ .

$\frac{6000}{0.009 a^{400} a^{- 0.006}}$

Step 2

Multiply $a^{400}$ by $a^{- 0.006}$ by adding the exponents.

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Step 2.1

Move $a^{- 0.006}$ .

$\frac{6000}{0.009 (a^{- 0.006} a^{400})}$

Step 2.2

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6000}{0.009 a^{- 0.006 + 400}}$

Step 2.3

Add $- 0.006$ and $400$ .

$\frac{6000}{0.009 a^{399.994}}$

Step 3

Factor $6000$ out of $6000$ .

$\frac{6000 (1)}{0.009 a^{399.994}}$

Step 4

Factor $0.009$ out of $0.009 a^{399.994}$ .

$\frac{6000 (1)}{0.009 (a^{399.994})}$

Step 5

Separate fractions.

$\frac{6000}{0.009} \cdot \frac{1}{a^{399.994}}$

Step 6

Divide $6000$ by $0.009$ .

$666666.\overline{6} \frac{1}{a^{399.994}}$

Step 7

Combine $666666.\overline{6}$ and $\frac{1}{a^{399.994}}$ .

$\frac{666666.\overline{6}}{a^{399.994}}$