Using the laws of indices, simplify the following:
\(\sqrt{h} \times \sqrt{h^3}\) =
Answer (2)
h ⋅ h 3 = h 2 1 ⋅ ( h 3 ) 2 1 = h 2 1 ⋅ h 2 3 = h 2 1 + 2 3 = h 2 4 = h 2
or other way
h ⋅ h 3 = h 4 = ( h 2 ) 2 = ∣ h 2 ∣ = h 2
The expression h × h 3 simplifies to h 2 using the laws of indices. By rewiring square roots as exponents and applying the multiplication rule for exponents, the final result is derived. This demonstrates the effectiveness of using exponent rules in algebraic simplifications.
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