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Simplify. Rewrite the expression in the form 4^(n). (4^(11))(4^(-8))=

Simplify.\newlineRewrite the expression in the form \newline4n4^{n}.\newline(411)(4−8)=(4^{11})(4^{-8})=

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Full solution

Q. Simplify.\newlineRewrite the expression in the form \newline4n4^{n}.\newline(411)(4−8)=(4^{11})(4^{-8})=
  1. Use Exponent Property: To simplify the expression 4114^{11}4−84^{-8}, we need to use the property of exponents that states when multiplying powers with the same base, we add the exponents. So, we will add the exponents 1111 and −8-8.\newlineCalculation: 411+(−8)=411−8=434^{11 + (-8)} = 4^{11 - 8} = 4^3
  2. Perform Exponent Calculation: Now that we have simplified the expression, we can check for any mathematical errors by ensuring that the exponents were added correctly.\newlineCalculation check: 11−8=311 - 8 = 3

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