down the result in scientific notation. $$ \frac{\left(9.6 imes 10^{-6} ight) imes\left(7.5 imes 10^{-10} ight)}{\left(2.4 imes 10^{-5} ight)^{2}} $$

Question

down the result in scientific notation. $$ \frac{\left(9.6 	imes 10^{-6}ight) 	imes\left(7.5 	imes 10^{-10}ight)}{\left(2.4 	imes 10^{-5}ight)^{2}} $$

UpStudy AI · Accepted Answer

To evaluate the expression:

$$
\frac{\left(9.6 \times 10^{-6}\right) \times \left(7.5 \times 10^{-10}\right)}{\left(2.4 \times 10^{-5}\right)^{2}}
$$

**Step 1: Calculate the Numerator**

Multiply the coefficients and add the exponents:

$$
(9.6 \times 7.5) \times 10^{-6 + (-10)} = 72 \times 10^{-16} = 7.2 \times 10^{-15}
$$

**Step 2: Calculate the Denominator**

Square both the coefficient and the exponent:

$$
(2.4)^2 \times (10^{-5})^2 = 5.76 \times 10^{-10}
$$

**Step 3: Divide the Numerator by the Denominator**

$$
\frac{7.2 \times 10^{-15}}{5.76 \times 10^{-10}} = \frac{7.2}{5.76} \times 10^{-15 - (-10)} = 1.25 \times 10^{-5}
$$

**Final Result:**

$$
1.25 \times 10^{-5}
$$
The result is $$1.25 \times 10^{-5}$$.

down the result in scientific notation.

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