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evaluate. write your answer as a whole number \\(\\frac{10^8}{10^5} = \…

Question

evaluate. write your answer as a whole number
\\(\frac{10^8}{10^5} = \square\\)

Explanation:

Step1: Use exponent rule for division

When dividing exponents with the same base, we subtract the exponents: \( \frac{a^m}{a^n} = a^{m - n} \). Here, \( a = 10 \), \( m = 8 \), \( n = 5 \).
\( \frac{10^8}{10^5} = 10^{8 - 5} \)

Step2: Calculate the exponent

Subtract the exponents: \( 8 - 5 = 3 \), so \( 10^{8 - 5} = 10^3 \)

Step3: Evaluate \( 10^3 \)

\( 10^3 = 10 \times 10 \times 10 = 1000 \)

Answer:

1000