Given a² = 4 for real a, find a^-4.
A16
B1/8
C-1/16
D1/16
Answer & Solution
Correct answer: D. 1/16
The fourth power is the square of 4, or 16, so its reciprocal is one sixteenth regardless of a's sign.
Keep practising Exponents And Powers
Browse all Exponents And Powers questions for ICSE Class 8, or explore more Mathematics topics.
Related questions
For real x ≠ 0, which are all solutions of x^-2 = 4?For integer n, factor 2^n + 2^(n+1).For a, b ≠ 0, simplify ab(a^-1 + b^-1).Square area = side². If the side doubles, the area is multiplied by?A code has 7 positions, each independently 0 or 1. How many codes?A culture starts with 3 cells and doubles four times. Final count?Cube volume = side³. Side is 2 × 10^-2 m. Volume?100 cm = 1 m. Express 4 × 10^-3 cm in metres.