Algebra Examples

$- 2^{- 2} \cdot 4^{3} \cdot 3^{0}$

Step 1

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

$- \frac{1}{2^{2}} \cdot 4^{3} \cdot 3^{0}$

Step 2

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

$- \frac{1}{4} \cdot 4^{3} \cdot 3^{0}$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Move the leading negative in $- \frac{1}{4}$ into the numerator.

$\frac{- 1}{4} \cdot 4^{3} \cdot 3^{0}$

Step 3.2

Factor $4$ out of $4^{3}$ .

$\frac{- 1}{4} \cdot (4 \cdot 4^{2}) \cdot 3^{0}$

Step 3.3

Cancel the common factor.

$\frac{- 1}{4} \cdot (4 \cdot 4^{2}) \cdot 3^{0}$

Step 3.4

Rewrite the expression.

$- 1 \cdot 4^{2} \cdot 3^{0}$

Step 4

Simplify the expression.

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Step 4.1

Raise $4$ to the power of $2$ .

$- 1 \cdot 16 \cdot 3^{0}$

Step 4.2

Multiply $- 1$ by $16$ .

$- 16 \cdot 3^{0}$

Step 4.3

Anything raised to $0$ is $1$ .

$- 16 \cdot 1$

Step 4.4

Multiply $- 16$ by $1$ .

$- 16$