Question

Multiply and simplify: 9^4*9^-13

Answer 1

\(\normalsize\color{blue}{ 9^4 \times 9^{-13}= 9^{~4+(-13)}=9^{~4-13}=9^{-9} }\)

Answer 2

Then there is a rule, that says,

\(\LARGE\color{blue}{ a^{-b}=\frac{1}{a^b}}\)

Knowing the above rule,

\(\LARGE\color{blue}{ 9^{-9}=\frac{1}{9^9}}\)

Answer 3

\(\normalsize\color{blue}{ 9^{9}=387420489}\) and knowing this, you will get

1 / 387420489

Answer 4

this is a very small number that is not so far from ZERO

Answer 5

Anything else I can help you with ?

Answer 6

That is so wonderful! Thank you! This is super to understand now! I appreciate the help

Answer 7

Anytime! This is what I am here for (and I am here for to practice my maths, so thank YOU! )