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(411)(4−8)=(4^{11})(4^{-8})=

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Full solution

Q. (411)(4−8)=(4^{11})(4^{-8})=
  1. Apply Exponent Property: Apply the property of exponents that states when multiplying powers with the same base, you add the exponents.\newlineSo, (411)(4−8)=411+(−8)=43(4^{11})(4^{-8}) = 4^{11 + (-8)} = 4^3.
  2. Calculate 434^3: Calculate the value of 434^3.\newline43=4×4×4=644^3 = 4 \times 4 \times 4 = 64.

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