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

Answer 1

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 2

^ how do you get that in your keyboard

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!