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

Louis is correct

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