Question

Harry, Louis, and Niall are working with exponents. Harry claims 42.45 =

410. Louis claims 42.45 = 47. Niall claims 42.45 = 167. Which student has the

correct answer? Explain why.

Answer 1

Louis is right!

Baby Nandos and Curly are incorrect...

Explanation:

NIALL, LOUIS, AND HARRY!

Coincidence? I think not.

When multiplying two powers that have the same base, you have to add the exponents.

aᵇ × aⁿ = a⁽ᵇ⁺ⁿ⁾

Let's demonstrate this:

4² × 4⁵ = 4⁽²⁺⁵⁾ = 4 ⁷

So, Boo Bear AKA Sass Mastah From Doncastah is correct!

Sorry, Nialler and Hazzie, this is competition where cuteness and kindness doesn't play a factor, but... (I CAN TUTOR YOU IF YOU WANT!) lol

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Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

Treat People with Kindness!

-Aadi x

Answer 2

Louis has the correct answer

Explanation:

we know that

When multiplying two powers that have the same base, you can add the exponents

`(a^(m))(a^(n))=(a^(m+n))`

In this problem we have

`(4^(2))(4^(5))=4^(2+5)=4^(7)`

therefore

Louis has the correct answer