Evaluate the expression using exponential rules. Write the result in standard notation.
-$\left( 5.1 \times 10 ^ { 3 } \right) \times \left( 8.1 \times 10 ^ { - 4 } \right)$
A)4.131
B)0.4131
C) $41.31 \times 10 ^ { - 1 }$
D) $41.31 \times 10 ^ { - 12 }$

Question

Quizplus · Accepted Answer

Multiplying the given numbers using the rule for multiplying powers with the same base (add the exponents): $5.1 \times 8.1 = 41.31$ and $10^3 \times 10^{-4} = 10^{-1}$. Converting $41.31 \times 10^{-1}$ to standard notation gives 4.131.

Evaluate the Expression Using Exponential Rules (5.1×103)×(8.1×10−4)\left( 5.1 \times 10 ^ { 3 } \right) \times \left( 8.1 \times 10 ^ { - 4 } \right)(5.1×103)×(8.1×10−4)

Evaluate the Expression Using Exponential Rules $\left( 5.1 \times 10 ^ { 3 } \right) \times \left( 8.1 \times 10 ^ { - 4 } \right)$