Perform the indicated operations using the laws of exponents. Express the result using positive exponents. $\left( 10 ^ { 2 } \right) ^ { - 7 }$
A) $\frac { 1 } { 10 ^ { 9 } }$
B) $10 ^ { 5 }$
C) $\frac { 1 } { 10 ^ { 5 } }$
D) $10 ^ { 14 }$
E) $\frac { 1 } { 10 ^ { 14 } }$

Question

Quizplus · Accepted Answer

When raising a power to another power, you multiply the exponents: $10^{2 \times -7} = 10^{-14}$, which is $\frac{1}{10^{14}}$.

Perform the Indicated Operations Using the Laws of Exponents (102)−7\left( 10 ^ { 2 } \right) ^ { - 7 }(102)−7

Perform the Indicated Operations Using the Laws of Exponents $\left( 10 ^ { 2 } \right) ^ { - 7 }$