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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline14867\frac{1}{48^{67}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline14867\frac{1}{48^{67}}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 14867\frac{1}{48^{67}}. In this expression, 4848 is the base and 6767 is the exponent. The entire expression is the reciprocal of 4848 raised to the 6767th power. Base: 4848 Exponent: 6767
  2. Apply Negative Exponent Rule: Apply the negative exponent rule to rewrite the expression.\newlineThe negative exponent rule states that a−m=1ama^{-m} = \frac{1}{a^m}. Therefore, to write 14867\frac{1}{48^{67}} as a whole number with a negative exponent, we can apply this rule in reverse.\newline14867\frac{1}{48^{67}} can be rewritten as 48−6748^{-67}.

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