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Evaluate the expression 2(5)^(x) for x=2.

Evaluate the expression 2(5)x 2(5)^{x} for x=2 x=2 .

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Full solution

Q. Evaluate the expression 2(5)x 2(5)^{x} for x=2 x=2 .
  1. Identify Given Values: Identify the given values and the expression to evaluate.\newlineWe are given the expression 2(5)x2(5)^{x} and the value for xx, which is 22. We need to substitute xx with 22 in the expression.
  2. Substitute Value of xx: Substitute the value of xx into the expression.\newlineReplace xx with 22 in the expression to get 2(5)22(5)^{2}.
  3. Evaluate Exponent: Evaluate the exponent part of the expression.\newlineCalculate 55 raised to the power of 22, which is 5×55 \times 5.\newline52=255^2 = 25
  4. Multiply Result: Multiply the result of the exponentiation by 22. Now, multiply the result from Step 33 by 22. 2×25=502 \times 25 = 50

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