Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$$\left( 6 x ^ { - 5 } \right) ^ { 2 } \left( x ^ { 2 } \right) ^ { - 1 }$$
A) $\frac { 6 ^ { 2 } } { x ^ { 2 } }$

B) $\frac { 1 } { 6 ^ { - 10 } x ^ { 12 } }$

C) $6 ^ { 2 } x ^ { 20 }$

D) $\frac { 6 ^ { 2 } } { x ^ { 12 } }$

Question

Perform the indicated operations. Write the result using only positive exponents. Assume all variables represent nonzero
real numbers.
-$$\left( 6 x ^ { - 5 } \right) ^ { 2 } \left( x ^ { 2 } \right) ^ { - 1 }$$
A) $\frac { 6 ^ { 2 } } { x ^ { 2 } }$

B) $\frac { 1 } { 6 ^ { - 10 } x ^ { 12 } }$

C) $6 ^ { 2 } x ^ { 20 }$

D) $\frac { 6 ^ { 2 } } { x ^ { 12 } }$

Quizplus · Accepted Answer

When simplifying the expression, the exponent rules are applied. The first part $\left( 6 x ^ { - 5 } \right) ^ { 2 }$ simplifies to $6^2 x^{-10}$ because both the coefficient and the variable's exponent are squared. The second part $\left( x ^ { 2 } \right) ^ { - 1 }$ simplifies to $x^{-2}$ because raising a power to a power means you multiply the exponents. Multiplying these together, you get $6^2 x^{-10} x^{-2}$, which simplifies to $6^2 x^{-12}$. To write this with only positive exponents, it becomes $\frac { 6 ^ { 2 } } { x ^ { 12 } }$.

Perform the Indicated Operations (6x−5)2(x2)−1\left( 6 x ^ { - 5 } \right) ^ { 2 } \left( x ^ { 2 } \right) ^ { - 1 }(6x−5)2(x2)−1

Perform the Indicated Operations $\left( 6 x ^ { - 5 } \right) ^ { 2 } \left( x ^ { 2 } \right) ^ { - 1 }$