Asked by Trikzz

Which expression is equivalent to 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4?

I know the answer is 4^8. I need help writing out or explaining how i got my answer.
Answered by Ms. Sue
How many 4s are there?
Answered by Ms. Sue
Yep. So how did you get your answer?
Answered by Seriana
To simplify this expression, you must first take it step by step.
1. 4 * 4 = 16
2. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16 * 4 * 4 * 4 * 4 *4 * 4 * 4 = (4 ^ 7) * 16
3. 16 * 4 = 64
4. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 64 * 4 * 4 * 4 * 4 *4 * 4 = (4 ^ 6) * 64
5. 64 * 4 = 256
6. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 256 * 4 * 4 * 4 * 4 *4 =
(4 ^ 5) * 256
7. 256 * 4 = 1,024
8. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 1,024 * 4 * 4 * 4 * 4 =
(4 ^ 4) * 1,024
9. 1,024 * 4 = 4,069
10. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 4,069 * 4 * 4 * 4 =
(4 ^ 3) * 4,069
11. 4,069 * 4 = 16,384
12. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16,384 * 4 * 4 =
(4 ^ 2) * 16,384
13. 16,384 * 4 = 65,536
Therefor, your answer would be 4 ^ 8, simplified to 65,536. Because there are eight 4's in the multiplication expression. You must multiply the numbers 1 by 1. 4 ^ 8 isn't 4 * 8, it is 4 multiplied by itself 8 times. Very different, but I requires multiplication.
Answered by Seriana
"But 'it', requires multiplication"
Answered by Trikzz
I looked at the problem an put 4 with an exponent of 8 because there are 8 4's?
Answered by Seriana
When I say 8 4's, I mean 4 multiplied by itself 8 times, along with the multiplication in-between each 4.
Answered by Trikzz
Ok, thank you @Seriana!!
Answered by Seriana
No problem! If there are times when you don't understand just say so, because we would be happy to help!!
Answered by Damon
1. 4 * 4 = 16
2. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16 * 4 * 4 * 4 * 4 *4 * 4 * 4 = (4 ^ 7) * 16
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Typo?
4^8 = 4^6 * 4^2 not 4^7 * 4^2

a^(b+c) = a^b * a^c
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