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Simplify 4^(2t+1). Write your answer using only positive exponents. The solution is

Simplify 42t+1 4^{2 t+1} . Write your answer using only positive exponents.\newlineThe solution is

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Full solution

Q. Simplify 42t+1 4^{2 t+1} . Write your answer using only positive exponents.\newlineThe solution is
  1. Recognize and apply exponent rules: Recognize the expression and apply exponent rules. 42t+1=42t×414^{2t+1} = 4^{2t} \times 4^1
  2. Simplify using properties of exponents: Simplify further using the properties of exponents. 42t=(22)2t=24t4^{2t} = (2^2)^{2t} = 2^{4t}, and 41=44^1 = 4
  3. Combine results from previous step: Combine the results from the previous step.\newline24t×4=24t×22=24t+22^{4t} \times 4 = 2^{4t} \times 2^2 = 2^{4t+2}

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