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.
9 answers
How many 4s are there?
Yep. So how did you get your answer?
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.
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.
"But 'it', requires multiplication"
I looked at the problem an put 4 with an exponent of 8 because there are 8 4's?
When I say 8 4's, I mean 4 multiplied by itself 8 times, along with the multiplication in-between each 4.
Ok, thank you @Seriana!!
No problem! If there are times when you don't understand just say so, because we would be happy to help!!
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
===============================================
Typo?
4^8 = 4^6 * 4^2 not 4^7 * 4^2
a^(b+c) = a^b * a^c
2. 4 ^ 8 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 16 * 4 * 4 * 4 * 4 *4 * 4 * 4 = (4 ^ 7) * 16
===============================================
Typo?
4^8 = 4^6 * 4^2 not 4^7 * 4^2
a^(b+c) = a^b * a^c
4 answers