Simplify the following expression and express the result in standard form: (0.0225 0.0256) / (0.0015 0.48)

$$\frac{0.000576}{0.000720}$$

To simplify this fraction, we can multiply both the numerator and the denominator by $10^6$ to remove the decimals:

$$\frac{0.000576 \times 10^6}{0.000720 \times 10^6} = \frac{576}{720}$$

Now, simplify the fraction $\frac{576}{720}$. Both numbers are divisible by 8:

$$\frac{576 \div 8}{720 \div 8} = \frac{72}{90}$$

Both numbers are divisible by 9:

$$\frac{72 \div 9}{90 \div 9} = \frac{8}{10} = 0.8$$

Standard form requires a number $a$ such that $1 \le |a| < 10$, multiplied by a power of 10.

$$0.8 = 8 \times 10^{-1}$$

The simplified expression in standard form is $8 \times 10^{-1}$.