Question

which expression is equivalent to $10^{-3} \cdot 5^{-3}$?
$50^{-3}$
$50^{0}$
$\frac{1}{50^{-3}}$
$50^{-6}$

Explanation:

Step1: Recall exponent product rule

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

Step2: Apply rule to the expression

$10^{-3} \cdot 5^{-3} = (10 \times 5)^{-3}$

Step3: Simplify the product inside

$(10 \times 5)^{-3} = 50^{-3}$

Answer:

$50^{-3}$