Which expression is equivalent to 3^(-6)*(3^(-6))/(3^(-1))? 3^(30) 3^(-10) 3^(-11) 3^(-1)

Write and Apply Exponent Rules: Write down the given expression and apply the exponent rules. The expression given is 3^(-6) * 3^(-6) / 3^(-1). When multiplying with the same base, we add the exponents. When dividing with the same base, we subtract the exponents.Add Exponents for Multiplication: Add the exponents for the multiplication part of the expression. 3^(-6) * 3^(-6) = 3^(-6 + -6) = 3^(-12).Subtract Exponent for Division: Subtract the exponent for the division part of the expression. (3^(-12)) / (3^(-1)) = 3^(-12 - (-1)) = 3^(-12 + 1) = 3^(-11).

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Which expression is equivalent to
3^(-6)*(3^(-6))/(3^(-1))?

3^(30)

3^(-10)

3^(-11)

3^(-1)

Which expression is equivalent to $3^{-6} \cdot \frac{3^{-6}}{3^{-1}} ?$ $\newline$ $3^{30}$ $\newline$ $3^{-10}$ $\newline$ $3^{-11}$ $\newline$ $3^{-1}$

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Algebra 1

Multiplication with rational exponents

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Q. Which expression is equivalent to

3^{-6} \cdot \frac{3^{-6}}{3^{-1}} ?

\newline

3^{30}

\newline

3^{-10}

\newline

3^{-11}

\newline

3^{-1}

Write and Apply Exponent Rules: Write down the given expression and apply the exponent rules. $\newline$ The expression given is $3^{-6} \times 3^{-6} / 3^{-1}$ . $\newline$ When multiplying with the same base, we add the exponents. When dividing with the same base, we subtract the exponents.
Add Exponents for Multiplication: Add the exponents for the multiplication part of the expression. $\newline$ $3^{-6} \times 3^{-6} = 3^{-6 + -6} = 3^{-12}$ .
Subtract Exponent for Division: Subtract the exponent for the division part of the expression. $\newline$ $(3^{(-12)}) / (3^{(-1)}) = 3^{(-12 - (-1))} = 3^{(-12 + 1)} = 3^{(-11)}.$