Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 8

Question

Studentka2010 [4]

3 years ago

12

Reina and Sam are multiplying (84)5 (73)9. Reina's Work Sam's Work (84)5 (73)9 = 84 + 573 + 9 = 89712 (84)5 (73)9 = 84⋅573⋅9 = 8

20727 Is either of them correct? Explain your reasoning.

Mathematics

1 answer:

Romashka-Z-Leto [24] · Answer 1 · 2021-12-14T03:23:24+03:00

This is a tricky question that Reina and Sam are multiplying (84)5 (73)9and their work are (84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam'sActually they are doing or multiplying using exponents.
Reina’s work (8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²This is incorrect because she added exponents instead of multiplying exponents
Sams work (8⁴)⁵ (7³)⁹=8⁴ˣ⁵ 7³ˣ⁹= 8²⁰ 7²⁷This is correct because Sam multiplied exponents correctly
Exponents are multiplied not added.