Which expression is equivalent to 11^9 * 11^2? Choices: (A)1/11^11 (B)11^18 (C)11^11 (D)1/11^18

Apply product rule: Apply the product rule for exponents. The product rule states that when multiplying two powers with the same base, you add the exponents. 11^9 * 11^2 = 11^(9 + 2)Add exponents: Perform the addition of the exponents. 9 + 2 = 11 So, 11^9 * 11^2 = 11^11Match with choices: Match the result with the given choices. The result from Step 2 is 11^11, which corresponds to choice (C).

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Which expression is equivalent to $11^9 \times 11^2$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{11^{11}}$ $\newline$ (B) $11^{18}$ $\newline$ (C) $11^{11}$ $\newline$ (D) $\frac{1}{11^{18}}$

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Math Problems

Algebra 2

Simplify radical expressions involving fractions

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Q. Which expression is equivalent to

11^9 \times 11^2

\newline

Choices:

\newline

(A)

\frac{1}{11^{11}}

\newline

(B)

11^{18}

\newline

(C)

11^{11}

\newline

(D)

\frac{1}{11^{18}}

Apply product rule: Apply the product rule for exponents. $\newline$ The product rule states that when multiplying two powers with the same base, you add the exponents. $\newline$ $11^9 \times 11^2 = 11^{(9 + 2)}$
Add exponents: Perform the addition of the exponents. $\newline$ $9 + 2 = 11$ $\newline$ So, $11^9 \times 11^2 = 11^{11}$
Match with choices: Match the result with the given choices. $\newline$ The result from Step $2$ is $11^{11}$ , which corresponds to choice (C).