Simplify {(4/5)^3}^2÷(1/4)^-2×4^-1
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Answer:
The correct answer is 64/15625
Step-by-step explanation:
= {(4/5)^3}^2÷(1/4)^-2×4^-1
= (4/5)^6÷4^2×1/4
= (4^6/5^6)×(1/4)^2×1/4
= (4×4×4×4×4×4/5×5×5×5×5×5)×1/16×1/4
= 4×4×4×4×4×4×5×5×5×5×5×5 × 1/64
= 4×4×4/5×5×5×5×5×5
= 64/15625
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