Algebra Examples

$3^{0} \cdot 2^{- 3} {(100 x^{2})}^{0}$

Step 1

Anything raised to $0$ is $1$ .

$1 \cdot (2^{- 3} {(100 x^{2})}^{0})$

Step 2

Multiply $2^{- 3} {(100 x^{2})}^{0}$ by $1$ .

$2^{- 3} {(100 x^{2})}^{0}$

Step 3

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

$\frac{1}{2^{3}} {(100 x^{2})}^{0}$

Step 4

Raise $2$ to the power of $3$ .

$\frac{1}{8} {(100 x^{2})}^{0}$

Step 5

Apply the product rule to $100 x^{2}$ .

$\frac{1}{8} (100^{0} {(x^{2})}^{0})$

Step 6

Anything raised to $0$ is $1$ .

$\frac{1}{8} (1 {(x^{2})}^{0})$

Step 7

Multiply ${(x^{2})}^{0}$ by $1$ .

$\frac{1}{8} {(x^{2})}^{0}$

Step 8

Multiply the exponents in ${(x^{2})}^{0}$ .

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Step 8.1

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

$\frac{1}{8} x^{2 \cdot 0}$

Step 8.2

Multiply $2$ by $0$ .

$\frac{1}{8} x^{0}$

Step 9

Anything raised to $0$ is $1$ .

$\frac{1}{8} \cdot 1$

Step 10

Multiply $\frac{1}{8}$ by $1$ .

$\frac{1}{8}$

Step 11

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{8}$

Decimal Form:

$0.125$