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12/3×11/3 why the exponents can not be added

User RTOSkit
by
4.4k points

2 Answers

7 votes

Answer:

(see below)

Explanation:

12³ × 11³ is NOT equivalent to (12 × 11)
^(3(3)) because:

1) 12³ and 11³ don't have the same bases. They have to both have a base of 11 or of 12.

2) 12³ × 11³ and (12 × 11)
^(3(3)) are different because (12 × 11)
^(3(3)) is a whole different number altogether. Here's why:

12³ × 11³ = 1728 × 1331

= 2,299,968

(12 × 11)
^(3(3)) =
(132)^(9)

= 1.216649217 ×
10^(19)

However, (12 × 11)³ would be equivalent to 12³ × 11³.

(12 × 11)³ = (132)³

= 2,299,968

User Fortisimo
by
5.0k points
4 votes

Answer:

The bases are not the same.

Explanation:

12/3 is not equal to 11/3

Therefore we cannot add the exponents together.

Hope I helped :)

User Nommer
by
4.7k points