Simplify (4^2)/(4^3)*4^0

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

Step 1

Evaluate the exponents.

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

$\frac{16}{4^{3}} \cdot 4^{0}$

Raise $4$ to the power of $3$ .

$\frac{16}{64} \cdot 4^{0}$

$\frac{16}{64} \cdot 4^{0}$

Step 2

Cancel the common factor of $16$ and $64$ .

Factor $16$ out of $16$ .

$\frac{16 (1)}{64} \cdot 4^{0}$

Cancel the common factors.

Factor $16$ out of $64$ .

$\frac{16 \cdot 1}{16 \cdot 4} \cdot 4^{0}$

Cancel the common factor.

$\frac{16 \cdot 1}{16 \cdot 4} \cdot 4^{0}$

Rewrite the expression.

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

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

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

Step 3

Simplify the expression.

Anything raised to $0$ is $1$ .

$\frac{1}{4} \cdot 1$

Multiply $\frac{1}{4}$ by $1$ .

$\frac{1}{4}$

$\frac{1}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{4}$

Decimal Form:

$0.25$

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