Charles, Zayeer, and Kali are trying to simplify 100023

Question

.

Charles says the correct simplification is 10 because 1000=10⋅10⋅10
and 100023=10
.

Zayeer says that the correct simplification is 1000 because 1000=10⋅10⋅10→100023=10⋅10⋅10=1000
.

Kali says the correct simplification is 100 because 1000=10⋅10⋅10→100023=10⋅10=100
.

Who has the correct value?

(2 points)
Responses

none of them
none of them

Zayeer
Zayeer

Charles
Charles

Kali

Answer 1

Let's analyze the problem:

The expression "100023" appears to be a typographical error or perhaps a misunderstanding. If we consider "1000 raised to the power of 23" (which would be written as \(1000^{23}\)), we can simplify it.

First, we know that \(1000 = 10^3\). Therefore, we can rewrite \(1000^{23}\) as \((10^3)^{23}\).

Using the property of exponents \((a^m)^n = a^{m \cdot n}\), we have:

\[ (10^3)^{23} = 10^{3 \cdot 23} = 10^{69}. \]

This means \(1000^{23}\) is simplified to \(10^{69}\).

Now assessing the answers:

• Charles claims \(100023 = 10\), which is incorrect.
• Zayeer claims \(100023 = 1000\), which is also incorrect.
• Kali claims \(100023 = 100\), which is likewise incorrect.

Thus, the correct answer is:

none of them.