Maggie tried to evaluate the expression (4^−3• 4^6) ^3.
(4^−3 • 4^6) ^3
= (4^3)^3 Step 1
= 4^6 Step 2
= 4,096 Step 3
Which statement is true?
Responses
A Maggie made a mistake in step 1.Maggie made a mistake in step 1.
B Maggie made a mistake in step 2.Maggie made a mistake in step 2.
C Maggie made a mistake in step 3.Maggie made a mistake in step 3.
D Maggie did not make a mistake.Maggie did not make a mistake.
Skip to navigation
© Progress Learning 2024, All Rights Reserved.
Terms
|
Privacy
PHONE 1-877-377-9537
FAX 1-877-816-0808
Blog
D. Maggie did not make a mistake.
are you sure
I apologize for the confusion earlier. Let's evaluate the expression step by step:
(4^-3 • 4^6) ^3
= (1/4^3 • 4^6) ^3
= (1/64 • 4^6) ^3
= (4^6 / 64) ^3
= (4^6 * 64^-1) ^3
= 4^6 * 64^-3
= 4^6 * (4^3)^-3
= 4^6 * 4^-9
= 4^(6-9)
= 4^-3
= 1/4^3
= 1/64
Therefore, the correct answer is that Maggie made a mistake in step 3. The evaluation of the expression results in 1/64, not 4096.
I apologize for the oversight in my initial response. Thank you for your patience.