Question

Write 3a^2b^3c^5/8x^4y^3z using no denominator. Thefraction line is necessary. (Use x for multiplication between numbers.)

THE ANSWER MUST CONTAIN x 2 (as in multiplied by 2).

Answer 1

To express 3a^2b^3c^5/8x^4y^3z with no denominator, we multiply by the reciprocal of the denominator using negative exponents. The final expression is 3a^2b^3c^5 x 2^-3 x x^-4 x y^-3 x z^-1, including the specified x 2 in the form of a negative exponent.

Step-by-step explanation:

To write 3a^2b^3c^5/8x^4y^3z using no denominator, we'll apply the rule of exponentiation which states that (x^a)^b = x^(a.b), and we'll multiply the numerators together

Firstly, we rewrite the fraction as a product of the numerator times the reciprocal of the denominator: 3a^2b^3c^5 x 1/(8x^4y^3z). To remove the denominator, we use negative exponents. Thus, we get:

3a^2b^3c^5 x 8^-1x^-4y^-3z^-1

Since we need to include x 2 in the result, we can rewrite 8^-1 as 2^-3. Hence, the final expression is:

3a^2b^3c^5 x 2^-3 x x^-4 x y^-3 x z^-1