Work out the value of $$ \left(5 imes 10^{3} ight) imes\left(6 imes 10^{7} ight) $$ Give your answer in standard form.

Question

Work out the value of $$ \left(5 	imes 10^{3}ight) 	imes\left(6 	imes 10^{7}ight) $$ Give your answer in standard form.

UpStudy AI · Accepted Answer

To evaluate $$ \left(5 \times 10^{3}\right) \times \left(6 \times 10^{7}\right) $$ and express the result in standard form (also known as scientific notation), follow these steps:

1. **Multiply the Coefficients:**
   
   $$ 5 \times 6 = 30 $$

2. **Multiply the Powers of 10:**
   
   $$ 10^{3} \times 10^{7} = 10^{3 + 7} = 10^{10} $$

3. **Combine the Results:**
   
   $$ 30 \times 10^{10} $$

4. **Convert to Standard Form:**

Standard form requires the coefficient to be between 1 and 10. To adjust:

$$ 30 \times 10^{10} = 3 \times 10^{1} \times 10^{10} = 3 \times 10^{11} $$

**Final Answer in Standard Form:**

$$
3 \times 10^{11}
$$
$$ 3 \times 10^{11} $$

Work out the value of
Give your answer in standard form.

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