Calculus Examples

$- 32 \cdot 2 + 1.5 {(2)}^{- 0.5}$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 32$ by $2$ .

$- 64 + 1.5 {(2)}^{- 0.5}$

Step 1.2

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

$- 64 + 1.5 \frac{1}{2^{0.5}}$

Step 1.3

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

$- 64 + 1.5 (\frac{1}{1.41421356})$

Step 1.4

Divide $1$ by $1.41421356$ .

$- 64 + 1.5 \cdot 0.70710678$

Step 1.5

Multiply $1.5$ by $0.70710678$ .

$- 64 + 1.06066017$

Step 2

Add $- 64$ and $1.06066017$ .

$- 62.93933982$