Write in exponential notation: (6^(3))/(6^(2))

Identify Rule: Identify the rule for dividing powers with the same base. When dividing powers with the same base, subtract the exponents: a^m / a^n = a^(m-n).Apply Rule: Apply the rule to the given expression (6^(3))/(6^(2)). Subtract the exponents: 3 - 2 = 1.Write Result: Write the result in exponential notation. The result is 6^(3-2) which simplifies to 6^1.Simplify Expression: Simplify the expression 6^1. Any number to the power of 1 is the number itself, so 6^1 = 6.

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Write in exponential notation:

(6^(3))/(6^(2))

Write in exponential notation: $\newline$ $\frac{6^{3}}{6^{2}}$

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Q. Write in exponential notation:

\newline

\frac{6^{3}}{6^{2}}

Identify Rule: Identify the rule for dividing powers with the same base. $\newline$ When dividing powers with the same base, subtract the exponents: $a^m / a^n = a^{(m-n)}$ .
Apply Rule: Apply the rule to the given expression $(6^{3})/(6^{2})$ . $\newline$ Subtract the exponents: $3 - 2 = 1$ .
Write Result: Write the result in exponential notation. $\newline$ The result is $6^{3-2}$ which simplifies to $6^1$ .
Simplify Expression: Simplify the expression $6^1$ . Any number to the power of $1$ is the number itself, so $6^1 = 6$ .