Solve (1,5)^8div(-1,5)^7

$$( 1,5 ) ^ { 8 } \div ( - 1,5 ) ^ { 7 }$$

Evaluate

$$-1,5$$

Solution Steps

Calculate 1,5 to the power of 8 and get 25,62890625.

$$\frac{25,62890625}{\left(-1,5\right)^{7}}$$

Calculate -1,5 to the power of 7 and get -17,0859375.

$$\frac{25,62890625}{-17,0859375}$$

Expand \frac{25,62890625}{-17,0859375} by multiplying both numerator and the denominator by 100000000.

$$\frac{2562890625}{-1708593750}$$

Reduce the fraction \frac{2562890625}{-1708593750} to lowest terms by extracting and canceling out 854296875.

$$-\frac{3}{2}$$

Factor

$$-1,5$$