Teddykins Teddykins

03-11-2021
Mathematics

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Megan had to find the product of 2^2007 and 5^2000 and then calculate the sum of the digits of the answer. Megan arrived at an answer of 11. Is she correct? Show ALL the calculations to motivate your answer.

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lynnkc2000 lynnkc2000

03-11-2021

Answer:

steps below

Step-by-step explanation:

2²⁰⁰⁷ * 5²⁰⁰⁰

= 2²⁰⁰⁰ * 5²⁰⁰⁰ * 2⁷

= 128 * (2*5)²⁰⁰⁰

= 128 * 10²⁰⁰⁰

= 1280000000000.......

sum of the digits = 1+2+8 = 11

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