Question

Which of the following expressions is equivalent to
4
−
6
⋅
5
4
4
3
⋅
5
−
2
?
A.
5
2
4
3
B.
5
6
4
9
C.
5
2
4
9
D.
1
4
2
⋅
5
2

Answer 1

Interpret the expression as 4^(−6) · 5^4 · 4^3 · 5^(−2). Using a^m · a^n = a^(m+n),

- For base 5: 4 + (−2) = 2 → 5^2
- For base 4: (−6) + 3 = −3 → 4^(−3) = 1/4^3

So the expression equals 5^2 / 4^3. Answer: A.