<span>This is a tricky question that Reina and Sam are multiplying (84)5 (73)9 and their work are </span><span>(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.
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Reina’s work
(8⁴)₅(7³)⁹=8⁴⁺⁵+ 7³⁺⁹= 8⁹ 7¹²<span>
This is incorrect because she added exponents
instead of multiplying exponents
Sams work (8</span>⁴<span>)</span>⁵<span> (7</span>³<span>)</span>⁹<span>=8</span>⁴ˣ⁵<span> 7</span>³ˣ⁹<span>= 8</span>²⁰<span> 7</span>²⁷<span> <span>This is correct because Sam multiplied exponents correctly</span></span>
<span><span>Exponents are multiplied not added.</span></span>