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Which expression is equivalent to the expression below?

h+h+h+h+h+k+k+k

8+h+k

h^(5)k^(3)

5h+3k

(h)/(5)+(k)/(3)

Which expression is equivalent to the expression below?\newlineh+h+h+h+h+k+k+k h+h+h+h+h+k+k+k \newline8+h+k 8+h+k \newlineh5k3 h^{5} k^{3} \newline5h+3k 5 h+3 k \newlineh5+k3 \frac{h}{5}+\frac{k}{3}

Full solution

Q. Which expression is equivalent to the expression below?\newlineh+h+h+h+h+k+k+k h+h+h+h+h+k+k+k \newline8+h+k 8+h+k \newlineh5k3 h^{5} k^{3} \newline5h+3k 5 h+3 k \newlineh5+k3 \frac{h}{5}+\frac{k}{3}
  1. Identify and Combine Like Terms: Identify the given expression and look for like terms to combine.\newlineThe expression is h+h+h+h+h+k+k+kh+h+h+h+h+k+k+k.\newlineCombine like terms by adding the coefficients of hh and kk separately.
  2. Combine hh Terms: Add the hh terms together.\newlineThere are 55 hh's, so the combined term for hh is 5h5h.
  3. Combine kk Terms: Add the kk terms together.\newlineThere are three kk's, so the combined term for kk is 3k3k.
  4. Write Simplified Expression: Write the simplified expression by combining the terms for hh and kk. The simplified expression is 5h+3k5h + 3k.
  5. Compare with Options: Compare the simplified expression with the given options.\newlineThe simplified expression 5h+3k5h + 3k matches one of the options exactly.

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