Solve for X: (2/105)^x Expression with Product Denominator

That's actually mathematically correct too! But the question asks you to expand the expression fully. Think of it like expanding $(abc)^2 = a^2b^2c^2$ instead of leaving it as $(abc)^2$.

Yes, absolutely! The fraction rule $\left(\frac{a}{b}\right)^x = \frac{a^x}{b^x}$ applies to both the numerator and denominator. So 2 becomes $2^x$.

They're actually equal! The product rule says $(abc)^x = a^x \cdot b^x \cdot c^x$. The first form is expanded while the second is factored. This question wants the expanded form.

Look for multiplication inside parentheses with an exponent outside. Whenever you see $(a \times b \times c)^x$, the exponent x gets distributed to each factor: $a^x \times b^x \times c^x$.

You could calculate $3 \times 5 \times 7 = 105$ to get $\left(\frac{2}{105}\right)^x$, but the question shows the denominator as separate factors. Keep them separate and apply the exponent to each: $3^x \times 5^x \times 7^x$.