liz - 8^2 x 8^6 = 8^18
chris - 8^3 x 8^6 =8^9
jen - 8^3 x 8^6 = 64^9
a) who completed it correctly
b) what did the other 2 do wrong
huh
Add you exponents for each equation. Which gives you the correct answer?
To determine who completed the calculation correctly and what the other two did wrong, let's break down the given expressions and simplify them.
Liz: 8^2 x 8^6
To solve this, we need to remember the exponent rule, which states that when multiplying two numbers with the same base, you add the exponents. Therefore,
8^2 x 8^6 = 8^(2+6) = 8^8
Chris: 8^3 x 8^6
Following the same exponent rule, we get:
8^3 x 8^6 = 8^(3+6) = 8^9
Jen: 8^3 x 8^6 = 64^9
Here, Jen made a mistake. The base of 8 cannot be simplified to 64, as 8 is not equal to 64. So the correct calculation would be:
8^3 x 8^6 = 8^(3+6) = 8^9
Now, let's compare the calculated values:
- Liz's result: 8^8
- Chris's result: 8^9
- Jen's result: 64^9
a) From the comparisons above, we can determine that Chris completed the calculation correctly because 8^3 x 8^6 = 8^9.
b) Liz made a mistake because she simplified 8^2 x 8^6 to 8^8 instead of 8^18. Jen also made a mistake by wrongly simplifying 8^3 x 8^6 to 64^9 instead of 8^9.
Online, “*” is used to indicate multiplication to avoid confusion with “x” as an unknown.
When multiplying/dividing, exponents are added/subtracted respectively.