Write each expression using a single exponent.
20.) 8^10*8^9
22.) 2.6^12 * 2.6^12
Can you please show your work so I can get a better understanding of these problems?
when you are multiplying, and the bases (the 8 and 2.6) are the same, you can just add the exponents.
so...8^19 and 2.6^24
ugh it's so easy I should have known!
Thank You Karen!
no problem! hope this helps for a better understanding
It definitely does!
Sure! To simplify the expressions, we can use the property of exponents that states: a^m * a^n = a^(m+n).
Let's start with the first expression: 8^10 * 8^9. Since the base (8) is the same, we can add the exponents together.
8^10 * 8^9 = 8^(10+9) = 8^19
So, the first expression simplified to 8^19.
Now let's move on to the second expression: 2.6^12 * 2.6^12. Again, we can apply the same property of exponents where the bases (2.6) are the same, so we add the exponents.
2.6^12 * 2.6^12 = 2.6^(12+12) = 2.6^24
Therefore, the second expression simplified to 2.6^24.
By following the rule of adding the exponents when the base is the same, we were able to simplify both expressions using a single exponent.