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Which expression is equivalent to $5^3 \times 3^3$ ? $\newline$ Choices: $\newline$ (A) $15^9$ $\newline$ (B) $15^6$ $\newline$ (C) $\frac{1}{15^3}$ $\newline$ (D) $15^3$

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Identify equivalent exponential expressions II

Full solution

Q. Which expression is equivalent to

5^3 \times 3^3

?

\newline

Choices:

\newline

(A)

15^9

\newline

(B)

15^6

\newline

(C)

\frac{1}{15^3}

\newline

(D)

15^3

Understand the problem: Understand the problem. $\newline$ We need to find an expression equivalent to the product of $5^3$ and $3^3$ .
Use property of exponents: Use the property of exponents for multiplication. $\newline$ When multiplying powers with different bases but the same exponents, we can combine the bases and keep the exponent the same. $\newline$ $(5 \times 3)^3 = 15^3$
Compare with choices: Compare the result with the given choices. $\newline$ The expression we found, $15^3$ , matches one of the choices provided.
Select correct choice: Select the correct choice. $\newline$ The equivalent expression to $5^3 \times 3^3$ is $15^3$ , which corresponds to choice (D).

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