ACT Exam > ACT Questions > (4x4)4 is equivalent to:a)xb)16x8c)16x16d)256...
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(4x4)4 is equivalent to:
- a)x
- b)16x8
- c)16x16
- d)256x8
- e)256x16
Correct answer is option 'E'. Can you explain this answer?
Most Upvoted Answer
(4x4)4 is equivalent to:a)xb)16x8c)16x16d)256x8e)256x16Correct answer ...
Explanation:
To solve this problem, we need to understand the concept of exponents and apply the rules of multiplication.
The expression (4x4)4 can be simplified by performing the operations within the inner parentheses first.
Step 1: Perform the operation inside the parentheses
4x4 = 16
Now we have (16)4 remaining.
Step 2: Apply the exponent rule
To raise a number to an exponent, we multiply the base number by itself the number of times indicated by the exponent.
In this case, we need to multiply 16 by itself 4 times.
16^4 = 16 x 16 x 16 x 16 = 256 x 16
Therefore, the expression (4x4)4 is equivalent to 256 x 16.
Explanation of options:
a) 16 is incorrect because the expression involves an exponent and not a multiplication.
b) 16 x 8 is incorrect because it does not account for the exponent of 4.
c) 16 x 16 is incorrect because it does not account for the exponent of 4.
d) 256 x 8 is incorrect because it does not account for the exponent of 4.
Therefore, the correct answer is option 'E' which states that (4x4)4 is equivalent to 256 x 16.
To solve this problem, we need to understand the concept of exponents and apply the rules of multiplication.
The expression (4x4)4 can be simplified by performing the operations within the inner parentheses first.
Step 1: Perform the operation inside the parentheses
4x4 = 16
Now we have (16)4 remaining.
Step 2: Apply the exponent rule
To raise a number to an exponent, we multiply the base number by itself the number of times indicated by the exponent.
In this case, we need to multiply 16 by itself 4 times.
16^4 = 16 x 16 x 16 x 16 = 256 x 16
Therefore, the expression (4x4)4 is equivalent to 256 x 16.
Explanation of options:
a) 16 is incorrect because the expression involves an exponent and not a multiplication.
b) 16 x 8 is incorrect because it does not account for the exponent of 4.
c) 16 x 16 is incorrect because it does not account for the exponent of 4.
d) 256 x 8 is incorrect because it does not account for the exponent of 4.
Therefore, the correct answer is option 'E' which states that (4x4)4 is equivalent to 256 x 16.
Community Answer
(4x4)4 is equivalent to:a)xb)16x8c)16x16d)256x8e)256x16Correct answer ...
Because the entire value 4x4 is being raised to the 4th power, you must multiply the exponents: 4 x 4 = 16, so (x4)4 = x16. Therefore, you can eliminate answer choices A, B, and D. Next, you must raise 4 to the 4th power: 44 = 256, and the correct answer is 256x16.
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(4x4)4 is equivalent to:a)xb)16x8c)16x16d)256x8e)256x16Correct answer is option 'E'. Can you explain this answer?
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