Simplify 4^05^-26^-1*100^0

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

Step 1

Anything raised to $0$ is $1$ .

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

Step 2

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

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

Step 3

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

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

Step 4

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

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

Step 5

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

$\frac{1}{25} \cdot \frac{1}{6} \cdot 100^{0}$

Step 6

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

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

$\frac{1}{25 \cdot 6} \cdot 100^{0}$

Multiply $25$ by $6$ .

$\frac{1}{150} \cdot 100^{0}$

Step 7

Anything raised to $0$ is $1$ .

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

Step 8

Multiply $\frac{1}{150}$ by $1$ .

$\frac{1}{150}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{150}$

Decimal Form:

$0.00\overline{6}$

Simplify 4^0*5^-2*6^-1*100^0