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Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1854\frac{1}{8^{54}}

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Full solution

Q. Write the expression as a whole number with a negative exponent. Do not evaluate the expression.\newline1854\frac{1}{8^{54}}
  1. Identify Base and Exponent: Identify the base and the exponent in the given expression 1854\frac{1}{8^{54}}. In this expression, 88 is the base and 5454 is the exponent. The expression is the reciprocal of 88 raised to the power of 5454. Base: 88 Exponent: 5454
  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 1854\frac{1}{8^{54}} as a whole number with a negative exponent, we can apply this rule in reverse.\newline1854\frac{1}{8^{54}} can be written as 8−548^{-54}.

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