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Simplify. Rewrite the expression in the form 4^(n). (4^(6))(4^(-8))=

Simplify.\newlineRewrite the expression in the form \newline4n4^{n}.\newline(46)(4−8)=(4^{6})(4^{-8})=

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Evaluate expressions using properties of exponentsright chevron icon

Full solution

Q. Simplify.\newlineRewrite the expression in the form \newline4n4^{n}.\newline(46)(4−8)=(4^{6})(4^{-8})=
  1. Add Exponents: We are given the expression (46)(4−8)(4^{6})(4^{-8}). According to the properties of exponents, when we multiply two expressions with the same base, we add their exponents. So, we will add the exponents 66 and −8-8.\newlineCalculation: 6+(−8)=−26 + (-8) = -2
  2. Write Simplified Expression: Now that we have added the exponents, we can write the simplified expression using the base 44 and the new exponent.\newlineFinal expression: 4−24^{-2}

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