Online Test — Indices (Exponents)
10 Questions • 15 min • Chapter MCQ
15:00
Question 1 of 10
medium
Simplify \(x^4 \times x^5\)
\(x^9\)
\(x^{20}\)
\(x\)
\(x^{4.5}\)
Explanation: Add exponents: 4+5=9
Question 2 of 10
medium
Simplify \(\frac{y^7}{y^2}\)
\(y^5\)
\(y^9\)
\(y^{3.5}\)
\(y^{14}\)
Explanation: Subtract exponents: 7-2=5
Question 3 of 10
medium
Simplify \((3^2)^4\)
\(3^6\)
\(3^8\)
\(9^4\)
Both B and C
Explanation: (3²)⁴=3⁸=6561; 9⁴=6561
Question 4 of 10
medium
Evaluate \(16^{-2}\)
\(\frac{1}{256}\)
\(\frac{1}{32}\)
\(\frac{1}{16}\)
\(\frac{1}{8}\)
Explanation: 16²=256, so negative gives 1/256
Question 5 of 10
medium
Evaluate \(27^{\frac{2}{3}}\)
3
6
9
18
Explanation: ∛27=3, then 3²=9
Question 6 of 10
medium
Solve \(2^x = 32\)
\(x=4\)
\(x=5\)
\(x=6\)
\(x=16\)
Explanation: 2⁵=32
Question 7 of 10
medium
Solve \(5^{x+1} = 125\)
\(x=2\)
\(x=3\)
\(x=4\)
\(x=5\)
Explanation: 125=5³, so x+1=3 → x=2
Question 8 of 10
medium
Evaluate \((-2)^4\)
-16
16
-8
8
Explanation: Even exponent → positive: (-2)×(-2)×(-2)×(-2)=16
Question 9 of 10
medium
Simplify \((a^2b^3)^4\)
\(a^6b^7\)
\(a^6b^{12}\)
\(a^8b^7\)
\(a^8b^{12}\)
Explanation: Multiply each exponent: a²ˣ⁴=a⁸, b³ˣ⁴=b¹²
Question 10 of 10
medium
Simplify \(\frac{2^5 \times 2^3}{2^4}\)
\(2^4\)
\(2^6\)
\(2^8\)
\(2^{12}\)
Explanation: Numerator: 2⁸, divide by 2⁴ gives 2⁴