Question
Simplify the exponential expression. \[ \left(3 x^{8}\right)\left(3 x^{9}\right) \]
Ask by Lowe Klein. in the United States
Feb 27,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified expression is \( 9x^{17} \).
Solution
To simplify (3x⁸)(3x⁹):
1. Multiply the coefficients: 3 × 3 = 9.
2. Apply the rule of exponents to x: x⁸ × x⁹ = x^(8+9) = x¹⁷.
Thus, the simplified expression is 9x¹⁷.
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Simplify this solution Beyond the Answer
To simplify the exponential expression \((3 x^{8})(3 x^{9})\), start by multiplying the coefficients and then add the exponents of the like bases. First, multiply the coefficients: \(3 \times 3 = 9\). Next, for the \(x\) terms, add the exponents: \(8 + 9 = 17\). Putting it all together, you get: \[ 9 x^{17} \] So, the simplified expression is \(9 x^{17}\).
