Express the following as a single fraction involving positive exponents only. $$- 4 x ^ { - 3 } - 5 x ^ { - 7 } + x$$
A) $\frac { x ^ { 6 } - 4 x ^ { 4 } - 5 } { x ^ { 7 } }$
B) $- \frac { x } { 4 x ^ { 7 } + 5 x ^ { 3 } }$
C) $\frac { 4 x ^ { 4 } + 5 } { x ^ { 6 } }$
D) $x ^ { 6 } - 4 x ^ { 7 } - 5 x ^ { 3 }$
E) $- \frac { 1 } { x ^ { 10 } }$

Question

Quizplus · Accepted Answer

To express the given expression as a single fraction with positive exponents, rewrite each term with a negative exponent as a fraction: $-\frac{4}{x^3} - \frac{5}{x^7} + x$. To combine these into a single fraction, find a common denominator, which is $x^7$, leading to $\frac{x^7(-4) - 5 + x^8}{x^7} = \frac{x^8 - 4x^4 - 5}{x^7}$, matching choice A.

Express the Following as a Single Fraction Involving Positive Exponents −4x−3−5x−7+x- 4 x ^ { - 3 } - 5 x ^ { - 7 } + x−4x−3−5x−7+x

Express the Following as a Single Fraction Involving Positive Exponents $- 4 x ^ { - 3 } - 5 x ^ { - 7 } + x$