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Which expression is equivalent to $7^3 \times 10^3$ ? $\newline$ Choices: $\newline$ (A) $70^9$ $\newline$ (B) $\frac{1}{70^3}$ $\newline$ (C) $70^3$ $\newline$ (D) $70^6$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

7^3 \times 10^3

?

\newline

Choices:

\newline

(A)

70^9

\newline

(B)

\frac{1}{70^3}

\newline

(C)

70^3

\newline

(D)

70^6

Calculate Exponents: Step $1$ : Calculate $7^3$ and $10^3$ separately. $\newline$ $7^3 = 343$ $\newline$ $10^3 = 1000$ $\newline$ Multiply these results together. $\newline$ $343 \times 1000 = 343000$
Express in Terms: Step $2$ : Express $343000$ in terms of a base and exponent. $\newline$ $343000 = 70^3$ $\newline$ Check if this matches any of the given choices.

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