(x^4)^3 ÷ x^-4 = ______?
- x^48
- x^12
- x^16
- None of these
Explanation
To simplify the expression, follow the rules of exponents:
(x⁴)³ = x^(4×3) = x¹²
Now, divide x¹² by x⁻⁴:
x¹² ÷ x⁻⁴ = x¹² × x⁴ (since dividing by x⁻⁴ is the same as multiplying by x⁴)
= x^(12+4)
= x¹⁶
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