Algebra Examples

$g (- 2) = 6 {(0.5)}^{- 2}$

Step 1

Replace the variable $- 2$ with $- 2$ in the expression.

$g (- 2) = 6 {(0.5)}^{- 2}$

Step 2

Simplify the result.

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Step 2.1

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

$g (- 2) = 6 (\frac{1}{{0.5}^{2}})$

Step 2.2

Raise $0.5$ to the power of $2$ .

$g (- 2) = 6 (\frac{1}{0.25})$

Step 2.3

Cancel the common factor of $0.25$ .

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Step 2.3.1

Factor $0.25$ out of $6$ .

$g (- 2) = 0.25 (24) (\frac{1}{0.25})$

Step 2.3.2

Cancel the common factor.

$g (- 2) = 0.25 \cdot (24 (\frac{1}{0.25}))$

Step 2.3.3

Rewrite the expression.

$g (- 2) = 24$

Step 2.4

The final answer is $24$ .

$24$

Step 3