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Which expression is equivalent to $10^3 \times 4^3$ ? $\newline$ Choices: $\newline$ (A) $\frac{1}{40^3}$ $\newline$ (B) $40^6$ $\newline$ (C) $40^9$ $\newline$ (D) $40^3$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

10^3 \times 4^3

?

\newline

Choices:

\newline

(A)

\frac{1}{40^3}

\newline

(B)

40^6

\newline

(C)

40^9

\newline

(D)

40^3

Calculate Powers: First, calculate $10^3$ and $4^3$ . $\newline$ $10^3 = 1000$ , $\newline$ $4^3 = 64$ .
Multiply Results: Next, multiply the results from the previous step. $\newline$ $1000 \times 64 = 64000$ .
Express as Power of $40$ : Now, express $64000$ as a power of $40$ . $\newline$ $40^3 = 64000$ .
Match with Choices: Finally, match the result with the given choices. $\newline$ $64000$ is $40^3$ , which corresponds to choice (D).

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