Which expression is equivalent to 11^7 * 11^3? Choices: (A)1/11^21 (B)11^21 (C)11^10 (D)1/11^10

Understand Operation: Understand the operation to perform with the exponents. When we multiply powers with the same base, we add the exponents. a^m * a^n = a^(m+n)Add Exponents: Add the exponents of 11^7 and 11^3. 11^7 * 11^3 = 11^(7+3) = 11^10Match Result: Match the result with the given choices. The expression 11^10 corresponds to choice (C) 11^10.

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Which expression is equivalent to $11^7 \times 11^3$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{11^{21}}$ $\newline$ (B) $11^{21}$ $\newline$ (C) $11^{10}$ $\newline$ (D) $\frac{1}{11^{10}}$

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Math Problems

Algebra 1

Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

11^7 \times 11^3

\newline

Choices:

\newline

(A)

\frac{1}{11^{21}}

\newline

(B)

11^{21}

\newline

(C)

11^{10}

\newline

(D)

\frac{1}{11^{10}}

Understand Operation: Understand the operation to perform with the exponents. $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $a^m \times a^n = a^{(m+n)}$
Add Exponents: Add the exponents of $11^7$ and $11^3$ . $\newline$ $11^7 \times 11^3$ $\newline$ $= 11^{7+3}$ $\newline$ $= 11^{10}$
Match Result: Match the result with the given choices. $\newline$ The expression $11^{10}$ corresponds to choice (C) $11^{10}$ .