Which expression is equivalent to 2^3 * 2^8? Choices: (A)2^24 (B)1/2^24 (C)1/2^11 (D)2^11

Identify Base and Exponents: Identify the base and the exponents. In 2^3 and 2^8, 2 is the base raised to the exponents 3 and 8 respectively. Base: 2 Exponents: 3, 8Rewrite as Single Power: Given expression: 2^3 * 2^8 Rewrite this expression as a single power of 2. When we multiply powers with the same base, we add the exponents. 2^3 * 2^8 = 2^(3+8) = 2^11Choose Equivalent Expression: Choose the equivalent expression for 2^3 * 2^8. 2^3 * 2^8 = 2^11 2^3 * 2^8 is equivalent to 2^11.

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Which expression is equivalent to $2^3 \times 2^8$ ? $\newline$ Choices: $\newline$ (A) $2^{24}$ $\newline$ (B) $\frac{1}{2^{24}}$ $\newline$ (C) $\frac{1}{2^{11}}$ $\newline$ (D) $2^{11}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

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Q. Which expression is equivalent to

2^3 \times 2^8

\newline

Choices:

\newline

(A)

2^{24}

\newline

(B)

\frac{1}{2^{24}}

\newline

(C)

\frac{1}{2^{11}}

\newline

(D)

2^{11}

Identify Base and Exponents: Identify the base and the exponents. $\newline$ In $2^3$ and $2^8$ , $2$ is the base raised to the exponents $3$ and $8$ respectively. $\newline$ Base: $2$ $\newline$ Exponents: $3$ , $8$
Rewrite as Single Power: Given expression: $2^3 \times 2^8$ $\newline$ Rewrite this expression as a single power of $2$ . $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $2^3 \times 2^8$ $\newline$ $= 2^{3+8}$ $\newline$ $= 2^{11}$
Choose Equivalent Expression: Choose the equivalent expression for $2^3 \times 2^8$ . $\newline$ $2^3 \times 2^8 = 2^{11}$ $\newline$ $2^3 \times 2^8$ is equivalent to $2^{11}$ .