Which expression is equivalent to 2^5 * 2^4? Choices: (A)1/2^20 (B)2^20 (C)2^9 (D)1/2^9

Identify Base and Exponents: Identify the base and the exponents. In 2^5 and 2^4, 2 is the base raised to the exponents 5 and 4 respectively. Base: 2 Exponents: 5, 4Rewrite Expression as Single Power: Given expression: 2^5 * 2^4 Rewrite this expression as a single power of 2. When we multiply powers with the same base, we add the exponents. 2^5 * 2^4 = 2^(5+4) = 2^9Choose Equivalent Expression: Choose the equivalent expression for 2^5 * 2^4. 2^5 * 2^4 = 2^9 2^5 * 2^4 is equivalent to 2^9.

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Which expression is equivalent to $2^5 \times 2^4$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{2^{20}}$ $\newline$ (B) $2^{20}$ $\newline$ (C) $2^9$ $\newline$ (D) $\frac{1}{2^9}$

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Math Problems

Grade 8

Identify equivalent expressions involving exponents I

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Q. Which expression is equivalent to

2^5 \times 2^4

\newline

Choices:

\newline

(A)

\frac{1}{2^{20}}

\newline

(B)

2^{20}

\newline

(C)

2^9

\newline

(D)

\frac{1}{2^9}

Identify Base and Exponents: Identify the base and the exponents. $\newline$ In $2^5$ and $2^4$ , $2$ is the base raised to the exponents $5$ and $4$ respectively. $\newline$ Base: $2$ $\newline$ Exponents: $5$ , $4$
Rewrite Expression as Single Power: Given expression: $2^5 \times 2^4$ $\newline$ Rewrite this expression as a single power of $2$ . $\newline$ When we multiply powers with the same base, we add the exponents. $\newline$ $2^5 \times 2^4$ $\newline$ $= 2^{5+4}$ $\newline$ $= 2^9$
Choose Equivalent Expression: Choose the equivalent expression for $2^5 \times 2^4$ . $\newline$ $2^5 \times 2^4 = 2^9$ $\newline$ $2^5 \times 2^4$ is equivalent to $2^9$ .