Simplify 4^05^-26^-1*100^01/(2^-1)

$4^{0} \cdot 5^{- 2} \cdot 6^{- 1} \cdot 100^{0} \frac{1}{2^{- 1}}$

Anything raised to $0$ is $1$ .

$1 \cdot 5^{- 2} \cdot 6^{- 1} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

Multiply $5^{- 2}$ by $1$ .

$5^{- 2} \cdot 6^{- 1} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

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

$\frac{1}{5^{2}} \cdot 6^{- 1} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

Raise $5$ to the power of $2$ .

$\frac{1}{25} \cdot 6^{- 1} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

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

$\frac{1}{25} \cdot \frac{1}{6} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

Multiply $\frac{1}{25} \cdot \frac{1}{6}$ .

Multiply $\frac{1}{25}$ by $\frac{1}{6}$ .

$\frac{1}{25 \cdot 6} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

Multiply $25$ by $6$ .

$\frac{1}{150} \cdot (100^{0} (\frac{1}{2^{- 1}}))$

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

$\frac{1}{150} \cdot (100^{0} \frac{1}{\frac{1}{2}})$

Simplify the expression.

Anything raised to $0$ is $1$ .

$\frac{1}{150} \cdot (1 \frac{1}{\frac{1}{2}})$

Multiply $\frac{1}{\frac{1}{2}}$ by $1$ .

$\frac{1}{150} \cdot \frac{1}{\frac{1}{2}}$

Multiply the numerator by the reciprocal of the denominator.

$\frac{1}{150} \cdot (1 \cdot 2)$

Cancel the common factor of $2$ .

Factor $2$ out of $150$ .

$\frac{1}{2 (75)} \cdot (1 \cdot 2)$

Factor $2$ out of $1 \cdot 2$ .

$\frac{1}{2 (75)} \cdot (2 \cdot 1)$

Cancel the common factor.

$\frac{1}{2 \cdot 75} \cdot (2 \cdot 1)$

Rewrite the expression.

$\frac{1}{75}$

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{75}$

Decimal Form:

$0.01\overline{3}$

Simplify 4^0*5^-2*6^-1*100^01/(2^-1)