Question

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.

Answer 1

How many 4s are there?

Answer 2

Yep. So how did you get your answer?

Answer 3

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.

Answer 4

"But 'it', requires multiplication"

Answer 5

I looked at the problem an put 4 with an exponent of 8 because there are 8 4's?

Answer 6

When I say 8 4's, I mean 4 multiplied by itself 8 times, along with the multiplication in-between each 4.

Answer 7

Ok, thank you @Seriana!!

Answer 8

No problem! If there are times when you don't understand just say so, because we would be happy to help!!

Answer 9

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

Answer 10

[AI-generated answer — Explain Bot]

To understand how to derive the expression 4^8 from the given expression 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4, we need to understand the concept of exponentiation.

In mathematics, when a number is raised to an exponent, it means multiplying that number by itself for the given number of times. The exponent tells us how many times the base number is multiplied.

For example, 4^3 means multiplying 4 by itself 3 times: 4 • 4 • 4, which gives us the value 64.

Now, let's apply the concept of exponentiation to the given expression: 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4.

We can rewrite this expression using exponents as 4^1 • 4^1 • 4^1 • 4^1 • 4^1 • 4^1 • 4^1 • 4^1.

Since all the bases are the same (4 in this case), we can simplify this expression by adding the exponents: 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1.

Adding all the exponents gives us a final exponent of 8: 8 • 4^1.

Since any number raised to the power of 1 is equal to the number itself (4^1 = 4), we can further simplify the expression to: 8 • 4.

Finally, multiplying 8 by 4 gives us the final answer: 32.

Therefore, the equivalent expression to 4 • 4 • 4 • 4 • 4 • 4 • 4 • 4 is 4^8, which equals 32.