Q. Simplify. Express your answer using positive exponents.3s⋅s9s2
Write Expression and Group: Write down the expression and group the coefficients and variables. 3s⋅s9s2 can be written as (39)⋅(s1⋅s1s2).
Simplify Coefficients: Simplify the coefficients. 39 equals 3.
Simplify Variables: Simplify the variables using the laws of exponents.When dividing powers with the same base, we subtract the exponents.s2/s1/s1 is the same as s(2−1−1).
Calculate Exponent: Calculate the exponent for s. s2−1−1 equals s0.
Recall Exponent Rule: Recall that any non-zero number raised to the power of 0 is 1. s0 equals 1.
Combine Coefficients and Variables: Combine the simplified coefficients and variables. 3×s0 equals 3×1, which is 3.
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