Evaluate. Write your a (10^(9))/(10^(7))=

Apply Quotient Rule: Apply the quotient rule for exponents. The quotient rule states that when you divide two exponents with the same base, you subtract the exponents: a^m / a^n = a^(m-n). So, (10^(9))/(10^(7)) = 10^(9-7).Subtract Exponents: Subtract the exponents. 9 - 7 = 2. So, 10^(9-7) = 10^2.Simplify Result: Simplify 10^2. 10^2 = 10 * 10 = 100.

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Evaluate. Write your a $\newline$ $(10^{9})/(10^{7})=$

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Grade 7

Powers with negative bases

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Q. Evaluate. Write your a

\newline

(10^{9})/(10^{7})=

Apply Quotient Rule: Apply the quotient rule for exponents. $\newline$ The quotient rule states that when you divide two exponents with the same base, you subtract the exponents: $a^m / a^n = a^{(m-n)}$ . $\newline$ So, $(10^{9})/(10^{7}) = 10^{(9-7)}$ .
Subtract Exponents: Subtract the exponents. $\newline$ $9 - 7 = 2$ . $\newline$ So, $10^{9-7} = 10^2$ .
Simplify Result: Simplify $10^2$ . $10^2 = 10 \times 10 = 100$ .