Charles, Zayeer, and Kali are trying to simplify 1,00023

Question

. Charles says the correct simplification is 10 because 1,000=10⋅10⋅10
and 1,00023=10
. Zayeer says the correct simplification is 1,000 because 1,000=10⋅10⋅10→1,00023=10⋅10⋅10=1,000
. Kali says the correct simplification is 100 because 1,000=10⋅10⋅10→1,00023=10⋅10=100
. Who has the correct value?(1 point)
Responses

Charles
Charles

none of them
none of them

Zayeer
Zayeer

Kali
Kali
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Answer 1

To simplify \( 1,000^{23} \), we first recognize that \( 1,000 = 10^3 \). Thus, we can rewrite \( 1,000^{23} \) as:

\[ (10^3)^{23} \]

Using the power of a power property of exponents, we multiply the exponents:

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

Now, let's evaluate the claims:

• Charles says the result is \( 10 \). This is incorrect, as we found \( 10^{69} \).
• Zayeer says the result is \( 1,000 \). This is also incorrect, as \( 10^{69} \) is much larger than \( 1,000 \).
• Kali claims the result is \( 100 \). This is incorrect as well, since \( 10^{69} \) is significantly larger than \( 100 \).

Thus, none of them have the correct value.

The correct answer is: none of them.