Simplify (7^-2)/(4^2)

$\frac{7^{- 2}}{4^{2}}$

Step 1

Move $7^{- 2}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{4^{2} \cdot 7^{2}}$

Step 2

Simplify the denominator.

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

$\frac{1}{16 \cdot 7^{2}}$

Raise $7$ to the power of $2$ .

$\frac{1}{16 \cdot 49}$

Step 3

Multiply $16$ by $49$ .

$\frac{1}{784}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{784}$

Decimal Form:

$0.00127551 \dots$