Question
Simplify the expression completely: \( \frac{z^{16}}{z^{7}} \) Answer \( =\square \)
Ask by Colon Garrett. in the United States
Mar 11,2025
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Answer
\( z^{9} \)
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To simplify the expression \( \frac{z^{16}}{z^{7}} \), you can use the property of exponents that states \( \frac{a^m}{a^n} = a^{m-n} \). Therefore, you can subtract the exponent in the denominator from the exponent in the numerator: \[ \frac{z^{16}}{z^{7}} = z^{16-7} = z^{9} \] So, the simplified expression is \( z^{9} \). Answer \( = z^{9} \)