Using the appropriate property and then check with a calculator. Leave answers without denominators. $\left( 2 ^ { - 4 } \right) ^ { - 8 }$
A) $2 ^ { 32 }$
B) $2 ^ { 12 }$
C) $2 ^ { - 32 }$
D) $2 ^ { - 12 }$
E) $2 ^ { - 4 }$

Question

Quizplus · Accepted Answer

When you raise a power to another power, you multiply the exponents. So, $\left( 2 ^ { - 4 } \right) ^ { - 8 } = 2 ^ { (-4) \times (-8) } = 2 ^ { 32 }$.

Using the Appropriate Property and Then Check with a Calculator (2−4)−8\left( 2 ^ { - 4 } \right) ^ { - 8 }(2−4)−8

Using the Appropriate Property and Then Check with a Calculator $\left( 2 ^ { - 4 } \right) ^ { - 8 }$