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Simplify. Express your answer using positive exponents.\newlineh8h7\frac{h^8}{h^7}

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Full solution

Q. Simplify. Express your answer using positive exponents.\newlineh8h7\frac{h^8}{h^7}
  1. Exponent Operation: h8/h7h^8/h^7\newlineWhat operation should we perform with the exponents, 88 and 77?\newlineWhen we divide powers with the same base, we subtract the exponents.\newlineam/an=a(m−n)a^m / a^n = a^{(m-n)}
  2. Rewrite Expression: h8/h7h^8/h^7\newlineRewrite this expression as a single power of hh.\newlineSubtract the exponents.\newlineh8/h7=h8−7=h1h^8/h^7 = h^{8-7} = h^1\newlineSince any number to the power of 11 is the number itself, we can simplify h1h^1 to just hh.

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