Which expression is equivalent to 8^8 * 8^5? Choices: (A)1/8^13 (B)8^40 (C)1/8^40 (D)8^13

Identify Base and Exponents: Step 1: Identify the base and the exponents in the expression 8^8 * 8^5. Base: 8 Exponents: 8, 5Combine Exponents: Step 2: Combine the exponents since the bases are the same. 8^8 * 8^5 = 8^(8+5) = 8^13Match Result: Step 3: Match the result with the given choices. The expression 8^13 corresponds to choice (D) 8^13.

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Which expression is equivalent to $8^8 \times 8^5$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{8^{13}}$ $\newline$ (B) $8^{40}$ $\newline$ (C) $\frac{1}{8^{40}}$ $\newline$ (D) $8^{13}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

Full solution

Q. Which expression is equivalent to

8^8 \times 8^5

\newline

Choices:

\newline

(A)

\frac{1}{8^{13}}

\newline

(B)

8^{40}

\newline

(C)

\frac{1}{8^{40}}

\newline

(D)

8^{13}

Identify Base and Exponents: Step $1$ : Identify the base and the exponents in the expression $8^8 \times 8^5$ . $\newline$ Base: $8$ $\newline$ Exponents: $8, 5$
Combine Exponents: Step $2$ : Combine the exponents since the bases are the same. $\newline$ $8^8 \times 8^5 = 8^{(8+5)} = 8^{13}$
Match Result: Step $3$ : Match the result with the given choices. $\newline$ The expression $8^{13}$ corresponds to choice (D) $8^{13}$ .