Rewrite the expression 3 x − 4 3 x ^ { - 4 } 3 x − 4 using only positive exponents. Assume that x is not zero.A) 1 81 x 4 \frac { 1 } { 81 x ^ { 4 } } 81 x 4 1 B) 3 x 4 \frac { 3 } { x ^ { 4 } } x 4 3 C) 1 3 x 4 \frac { 1 } { 3 x ^ { 4 } } 3 x 4 1 D) − 3 x 4 - \frac { 3 } { x ^ { 4 } } − x 4 3 E) − 1 81 x 4 - \frac { 1 } { 81 x ^ { 4 } } − 81 x 4 1

Question

Rewrite the expression   3 x − 4 3 x ^ { - 4 } 3 x − 4   using only positive exponents. Assume that x is not zero.A)    1 81 x 4 \frac { 1 } { 81 x ^ { 4 } } 81 x 4 1 ​ B)    3 x 4 \frac { 3 } { x ^ { 4 } } x 4 3 ​ C)    1 3 x 4 \frac { 1 } { 3 x ^ { 4 } } 3 x 4 1 ​ D)    − 3 x 4 - \frac { 3 } { x ^ { 4 } } − x 4 3 ​ E)    − 1 81 x 4 - \frac { 1 } { 81 x ^ { 4 } } − 81 x 4 1 ​

Brandon Gonzalez · Accepted Answer

Final Answer : B, Explanation :   To rewrite   3 x − 4 3x^{-4} 3 x − 4   with positive exponents, you move the   x − 4 x^{-4} x − 4   to the denominator and it becomes   x 4 x^4 x 4  , resulting in   3 x 4 \frac{3}{x^4} x 4 3 ​  .

Rewrite the expression $3 x ^ { - 4 }$ using only positive exponents. Assume that x is not zero.

A) $181x4\frac { 1 } { 81 x ^ { 4 } }$
B) $3x4\frac { 3 } { x ^ { 4 } }$
C) $13x4\frac { 1 } { 3 x ^ { 4 } }$
D) $\frac { 3 } { x ^ { 4 } }$
E) $\frac { 1 } { 81 x ^ { 4 } }$

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