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Simplify. Express your answer using positive exponents.\newline5t55t3\frac{5t^5}{5t^3}

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Multiply powers: variable basesright chevron icon

Full solution

Q. Simplify. Express your answer using positive exponents.\newline5t55t3\frac{5t^5}{5t^3}
  1. Simplify Coefficients: Simplify the coefficients.\newlineDivide the coefficients 55 by 55.\newline55=1\frac{5}{5} = 1
  2. Simplify Variables: Simplify the variables with exponents.\newlineWhen we divide powers with the same base, we subtract the exponents.\newlinet5/t3=t(5−3)=t2t^5 / t^3 = t^{(5-3)} = t^2
  3. Combine Results: Combine the results from Step 11 and Step 22.\newlineSince 55\frac{5}{5} is 11, and t5t3\frac{t^5}{t^3} is t2t^2, the expression simplifies to:\newline1×t2=t21 \times t^2 = t^2

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