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write the expression as the product of two powers. $(13 \\cdot 14)^3 = …

Question

write the expression as the product of two powers.
$(13 \cdot 14)^3 = $?
$13 \cdot 14^3$
$13 \cdot 14^2$
$13^3 \cdot 14$
$13^3 \cdot 14^3$

Explanation:

Step1: Apply exponent product rule

$(a \cdot b)^n = a^n \cdot b^n$

Step2: Substitute values

Let $a=13$, $b=14$, $n=3$
$(13 \cdot 14)^3 = 13^3 \cdot 14^3$

Answer:

$13^3 \cdot 14^3$