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calculate y by substituting x = 0 into y = 1·3^x.

Question

calculate y by substituting x = 0 into y = 1·3^x.

Explanation:

Step1: Substitute \( x = 0 \) into the function

We have the function \( y = 1 \cdot 3^{x} \). Substitute \( x = 0 \) into it, so we get \( y = 1 \cdot 3^{0} \).

Step2: Evaluate the exponent

Recall that any non - zero number to the power of 0 is 1, so \( 3^{0}=1 \). Then \( y = 1\times1 \).

Step3: Calculate the result

\( 1\times1 = 1 \), so \( y = 1 \).

Answer:

\( y = 1 \)