In the following equation, what is the value of z? 6^2 = 6^z/6^3 z = ____

Simplify Exponents: Simplify the right side of the equation using the properties of exponents: 6^z/6^3 = 6^(z-3). Set Equal: Set the simplified equation equal to the left side: 6^2 = 6^(z-3). Base Equality: Since the bases are the same (6), set the exponents equal to each other: 2 = z - 3. Solve for z: Solve for z: z = 2 + 3. Calculate z: Calculate z: z = 5.

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In the following equation, what is the value of $z$ ? $\newline$ $6^2 = \frac{6^z}{6^3}$ $\newline$ $z =$ ____

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Calculus

Find derivatives using the product rule II

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Q. In the following equation, what is the value of

z

\newline

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

\newline

z =

____

Simplify Exponents: Simplify the right side of the equation using the properties of exponents: $\frac{6^z}{6^3} = 6^{z-3}$ .
Set Equal: Set the simplified equation equal to the left side: $6^2 = 6^{z-3}$ .
Base Equality: Since the bases are the same $6$ , set the exponents equal to each other: $2 = z - 3$ .
Solve for z: Solve for z: $z = 2 + 3$ .
Calculate z: Calculate z: $z = 5$ .