Reina and Sam are multiplying (8 4) 5 (7 3) 9 Is either of them correct? explain your reasoning
Answers
If your question was
Reina and Sam are multiplying (84)5 (73)9.
Reina's Work Sam's Work
(84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's
(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam's
Is either of them correct? Explain your reasoning.
Then your answer would be
This is a tricky question that Reina and Sam are multiplying (84)5 (73)9
and their work are
(84)5 (73)9 = 84 + 573 + 9 = 89712 Reina's
(84)5 (73)9 = 84⋅573⋅9 = 820727 Sam's
Actually they are doing or multiplying using exponents.
Reina’s work (8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²
This is incorrect because she added exponents instead of multiplying exponents
Sams work (8⁴)⁵ (7³)⁹=8⁴ˣ⁵ 7³ˣ⁹= 8²⁰ 7²⁷
This is correct because Sam multiplied exponents correctly
Exponents are multiplied not added.
Write the whole question next time so that everyone else could also try