Simplify the expression:
\[ (13)^2(13)^{-4}(13)^5 \]
to what power?
Can you explain, please?
Answer (2)
1 3 2 ∗ 1 3 − 4 ∗ 1 3 5 = 1 3 7 ∗ 1 3 − 4 → 1 3 3
When you have exercices like this tipe you write the base and add the exponents.the exponents are: 2; -4 and 5 so you put them in a sum:
2+ (-4) + 5=
=2 -4+5=
=7 -4=
=3
The expression ( 13 ) 2 ( 13 ) − 4 ( 13 ) 5 simplifies to 1 3 3 by adding the exponents together. We find that 2 + (-4) + 5 equals 3. Thus, the final answer is 1 3 3 .
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