Algebra Examples

$64^{\frac{1}{2}} \cdot 10^{- 2}$

Step 1

Simplify the expression.

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Step 1.1

Rewrite $64$ as $8^{2}$ .

${(8^{2})}^{\frac{1}{2}} \cdot 10^{- 2}$

Step 1.2

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

$8^{2 (\frac{1}{2})} \cdot 10^{- 2}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$8^{2 (\frac{1}{2})} \cdot 10^{- 2}$

Step 2.2

Rewrite the expression.

$8^{1} \cdot 10^{- 2}$

Step 3

Evaluate the exponent.

$8 \cdot 10^{- 2}$

Step 4

The result can be shown in multiple forms.

Scientific Notation:

$8 \cdot 10^{- 2}$

Expanded Form:

$0.08$