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Answer:
1 / 2^2
1 / 4
0.25
Step-by-step explanation:
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Answered by
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Question :- Simplify and express the result with positive exponent :-
- [(-2)³ × (-2)⁷] / 4⁶
Solution :-
→ [(-2)³ × (-2)⁷] / 4⁶
using a^m × a^n = a^(m + n) in numerator ,
→ (-2)^(3 + 7) / 4⁶
→ (-2)¹⁰ / 4⁶
→ (-2)¹⁰ / (2²)⁶
using (a^m)^n = a^(m × n) in denominator ,
→ (-2)¹⁰ / (2)¹²
using (a × b)^m = a^m × b^m in numerator,
→ {(-1)¹⁰ × (2)¹⁰} / (2)¹²
→ {(1 × (2)¹⁰} / (2)¹²
→ (2)¹⁰ / (2)¹²
using a^m / a^n = a^(m - n)
→ (2)^(10 - 12)
→ (2)^(-2)
using a^(-m) = (1/a^m) ,
→ (1/2²) (Ans.)
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