Question

Harry ,Louis and Niall Are working with exponents. Harry claims 4^2•4^5=4^10 Louis claims 4^2•4^5=4^7 Niall claims 4^2•4^5=16^7 which of the students is correct?

Answer 1

Answer:

Louis is correct

Step-by-step explanation:

we know that

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

so

$a^{n} a^{m}=a^{n+m}$

so

In this problem we have

$4^{2} 4^{5}=4^{2+5}=4^{7}$

therefore

Louis is correct