Question

Use the Product Rule of Exponents to simplify the expression 3^8.3^3

Answer 1

^ how do you get that in your keyboard

Answer 2

To simplify the expression \( 3^8 \cdot 3^3 \) using the Product Rule of Exponents, you can add the exponents when multiplying the same base. The Product Rule states that:

\[
a^m \cdot a^n = a^{m+n}
\]

In this case, the base is \( 3 \), and the exponents are \( 8 \) and \( 3 \).

Applying the Product Rule:

\[
3^8 \cdot 3^3 = 3^{8+3} = 3^{11}
\]

Therefore, the simplified expression is:

\[
\boxed{3^{11}}
\]

Answer 3

To type the exponent symbol (^) on a keyboard, you can simply press the Shift key and the number 6 key at the same time. This will give you the caret symbol (^), which is typically used to denote exponents in plain text.

For example, to write \(3^2\), you would type:

```
3^2
```

If you want to create superscripts in other text formats, here are some methods for different platforms:

- **Microsoft Word:** Highlight the number or letter you want to make an exponent, then press `Ctrl` + `Shift` + `+` (the plus key).
- **Google Docs:** Highlight the text, go to the "Format" menu, then "Text," and select "Superscript."
- **Markdown:** You typically can’t directly create superscripts, but in some systems, you might use `3^2` where supported.

Let me know if you need more specific instructions for a different platform!