Question
Simplify: $(– 4)^{5} × (– 4)^{-10}$
✓
Answer
$(– 4)^{5} × (– 4)^{-10}$
= $(– 4)^{(5 – 10)} $ [because $a^{m} × a^{n} = a^{m + n}$]
= $ (– 4)^{–5}$
= $\frac{1}{(-4)^{5}}$ [because $ a^{-m}=\frac{1}{a^{m}}$]
= $\frac {-1}{1024}$
= $(– 4)^{(5 – 10)} $ [because $a^{m} × a^{n} = a^{m + n}$]
= $ (– 4)^{–5}$
= $\frac{1}{(-4)^{5}}$ [because $ a^{-m}=\frac{1}{a^{m}}$]
= $\frac {-1}{1024}$
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