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Simplify the expression. Write your answer as a power.

1. 9^7/9^4
2. 4.2^6/4.2^5

1 answer

To simplify the expressions, we use the power rule of exponents, which states that \( \frac{a^m}{a^n} = a^{m-n} \).

  1. For \( \frac{9^7}{9^4} \): \[ \frac{9^7}{9^4} = 9^{7-4} = 9^3 \]

  2. For \( \frac{4.2^6}{4.2^5} \): \[ \frac{4.2^6}{4.2^5} = 4.2^{6-5} = 4.2^1 = 4.2 \]

So, the simplified expressions are:

  1. \( 9^3 \)
  2. \( 4.2 \) (or you can also express it as \( 4.2^1 \) if preferred)