Add and simplify: 3/x + 1/x.
Correct answer(s):
- 4/x
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Simplify: (x^2 – 64)/(x – 8), where x ≠ 8.
Correct answer(s):
- x + 8
Simplify the algebraic fraction: (2x^2 + 16x)/(2x).
Correct answer(s):
- x + 8
Simplify: 7^3 ÷ 7^1.
Correct answer(s):
- 49
Simplify using index laws: (x^3)^4. [Unique SSC algebra item 2]
Correct answer(s):
- x^12
Simplify using index laws: a^6 × a^4.
Correct answer(s):
- a^10
Simplify: 2^5 ÷ 2^4.
Correct answer(s):
- 2
Simplify using index laws: (x^4)^1.
Correct answer(s):
- x^4
Simplify using index laws: a^4 × a^4.
Correct answer(s):
- a^8
Simplify: 7^3 ÷ 7^3.
Correct answer(s):
- 1
Simplify using index laws: (x^5)^5.
Correct answer(s):
- x^25
Simplify using index laws: a^2 × a^2. [Unique SSC algebra item 2]
Correct answer(s):
- a^4
Simplify: 3^6 ÷ 3^5.
Correct answer(s):
- 3
Simplify using index laws: (x^4)^3.
Correct answer(s):
- x^12
Simplify using index laws: a^3 × a^5.
Correct answer(s):
- a^8
Simplify: 7^6 ÷ 7^5.
Correct answer(s):
- 7
Simplify using index laws: (x^6)^4.
Correct answer(s):
- x^24
Simplify using index laws: a^2 × a^3.
Correct answer(s):
- a^5
Simplify: 5^3 ÷ 5^5.
Correct answer(s):
- 1/25
Simplify using index laws: (x^6)^5.
Correct answer(s):
- x^30