Question

Simplify each of the following and express the result as power of 5



I want the answer only not advice please​

Answer 1

Step-by-step explanation:

${( \frac{2}{3}) }^{6} \times {( \frac{2}{3}) }^{3} \div {( \frac{2}{3}) }^{9} \\ = {( \frac{2}{3})}^{(6 + 3 - 9)} \\ = {( \frac{2}{3})}^{(9- 9} \\ = {( \frac{2}{3})}^{(0)} \\ {( \frac{2}{3}) }^{6} \times {( \frac{2}{3}) }^{3} \div {( \frac{2}{3}) }^{9} = 1$

Now to express the value as a power of 5.

Base = n, Exponential power = 5

Also, the value of the answer = n⁵

w.k.t.,

n = 1⁵

Answer 2

The answer is 5, as 2/3 to the power 0 is 1 and when it is written as the power of 5 the answer will be 5