Question

simplify the following (-6)^7*(1/3)^8​
​

Answer 1

Answer:

-42.66

Step-by-step explanation:

${( - 6)}^{7} \times {( \frac{1}{3}) }^{8} \\ = 36 \times { (- 6)}^{5} \times \frac{1}{ {3}^{8} } \\ = 36 \times 36 \times {( - 6)}^{3} \times \frac{1}{9 \times 9 \times {3}^{4} } \\ = 4 \times 4 \times 36 \times ( - 6) \times \frac{1}{9 \times 9} \\ = 16 \times 4 \times ( - 6) \times \frac{1}{9} \\ = 64 \times ( - 2) \times \frac{1}{3} \\ = - 42.66$