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 thecorrect answer? Explain why.
Accepted Solution
A:
Answer:Louis has the correct answerStep-by-step explanation:we know thatWhen multiplying two powers that have the same base, you can add the exponents[tex](a^{m})(a^{n})=(a^{m+n})[/tex]In this problem we have[tex](4^{2})(4^{5})=4^{2+5}=4^{7}[/tex]thereforeLouis has the correct answer