Multiply and simplify.
-$$3 ^ { - 6 } \cdot 3 ^ { 8 }$$
A) 1
B) $3 ^ { 8 }$
C) $3 ^ { 10 }$
D) $3 ^ { 2 }$

Question

Multiply and simplify.
-$$3 ^ { - 6 } \cdot 3 ^ { 8 }$$
A) 1
B) $3 ^ { 8 }$
C)  $3 ^ { 10 }$
D) $3 ^ { 2 }$

Quizplus · Accepted Answer

To multiply and simplify the expression $3^{-6} \cdot 3^{8}$, we use the property of exponents that states when multiplying two powers with the same base, you add the exponents:
$$3^{-6} \cdot 3^{8} = 3^{-6 + 8}$$
Now, we add the exponents:
$$-6 + 8 = 2$$
So the simplified expression is:
$$3^{2}$$
Therefore, the correct answer is:
D) $3^{2}$

Multiply and Simplify 3−6⋅383 ^ { - 6 } \cdot 3 ^ { 8 }3−6⋅38

Multiply and Simplify $3 ^ { - 6 } \cdot 3 ^ { 8 }$