Math  /  Numbers & Operations

QuestionWhich expression or phrase is NOT equivalent to the others? 81 343^{4} 4444 \cdot 4 \cdot 4 3 to the fourth power

Studdy Solution

STEP 1

What is this asking? Which of these expressions doesn't have the same value as the others? Watch out! Don't mix up exponents with multiplication!

STEP 2

1. Evaluate each expression
2. Compare the results

STEP 3

Well, 81 is just... 81!
Nothing to do here.
It's already a **simplified number**.

STEP 4

343^{4} means 3 multiplied by itself 4 times.
So, 34=33333^4 = 3 \cdot 3 \cdot 3 \cdot 3.
Let's calculate this: 33=93 \cdot 3 = 9, then 93=279 \cdot 3 = 27, and finally 273=8127 \cdot 3 = 81.
So, 343^4 equals **81**.

STEP 5

This one is 4 multiplied by itself 3 times. 44=164 \cdot 4 = 16, and then 164=6416 \cdot 4 = 64.
So, 4444 \cdot 4 \cdot 4 equals **64**.

STEP 6

"3 to the fourth power" means the same thing as 343^4.
We already figured that out in the earlier step, and it equals **81**.

STEP 7

The expression that is NOT equivalent to the others is 4444 \cdot 4 \cdot 4, which equals 64.

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