Question
Manipulation REVIEW (Exponents \& Polynomials) / 4 of 11 The expression \( \left(x^{3}\right)\left(x^{-17}\right) \) is equivalent to \( x^{n} \). What is the value of \( n \) ? Enter your answer in the box.
Ask by Cox Smith. in the United States
Jan 24,2025
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\( n = -14 \)
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To simplify the expression \( \left(x^{3}\right)\left(x^{-17}\right) \), you can use the rule of exponents that states when multiplying like bases, you add the exponents. Thus: \[ n = 3 + (-17) = 3 - 17 = -14 \] So, the value of \( n \) is \( -14 \).