Basic Math Examples

${((200) (0.0008))}^{- \frac{1}{2}}$

Step 1

Multiply $200$ by $0.0008$ .

${0.16}^{- \frac{1}{2}}$

Step 2

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

$\frac{1}{{0.16}^{\frac{1}{2}}}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Rewrite $0.16$ as ${0.4}^{2}$ .

$\frac{1}{{({0.4}^{2})}^{\frac{1}{2}}}$

Step 3.2

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

$\frac{1}{{0.4}^{2 (\frac{1}{2})}}$

Step 3.3

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.3.1

Cancel the common factor.

$\frac{1}{{0.4}^{2 (\frac{1}{2})}}$

Step 3.3.2

Rewrite the expression.

$\frac{1}{{0.4}^{1}}$

Step 3.4

Evaluate the exponent.

$\frac{1}{0.4}$

Step 4

Divide $1$ by $0.4$ .

$2.5$