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Evaluate the expression (1)/(2)(8)^(x) for x=2.

Evaluate the expression 12(8)x \frac{1}{2}(8)^{x} for x=2 x=2 .

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Full solution

Q. Evaluate the expression 12(8)x \frac{1}{2}(8)^{x} for x=2 x=2 .
  1. Identify base and exponent: Identify the base and the exponent in the expression (1)/(2)(8)(x)(1)/(2)(8)^{(x)} for x=2x=2.\newlineIn (1)/(2)(8)(x)(1)/(2)(8)^{(x)}, when x=2x=2, we have:\newlineBase: 88\newlineExponent: x=2x = 2
  2. Substitute value of x: Substitute the value of xx into the expression.12(8)2\frac{1}{2}(8)^{2}
  3. Calculate exponent: Calculate the value of 88 raised to the power of 22. \newline82=8×88^2 = 8 \times 8\newline=64= 64
  4. Divide by product: Divide 11 by the product of 22 and 6464. (1)/(2×64)(1)/(2 \times 64)
  5. Perform multiplication: Perform the multiplication in the denominator. 2×64=1282 \times 64 = 128
  6. Complete the division: Complete the division to find the final value. (1)/(128)(1)/(128)

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