Question

{(0.00003)^6×(0.00005)^4}÷{(0.009)^3×(0.05)^2} write in scientific notation​

Answer 1

Answer:

$2.5\times 10^{-36}$

Step-by-step explanation:

Given : Expression $\frac{(0.00003)^6\times(0.00005)^4}{(0.009)^3\times(0.05)^2}$

To find : Write the expression in scientific notation ?

Solution :

Expression $\frac{(0.00003)^6\times(0.00005)^4}{(0.009)^3\times(0.05)^2}$

$=\frac{(3\times 10^{-5})^6\times(5\times 10^{-5})^4}{(9\times10^{-3})^3\times(5\times 10^{-2})^2}$

$=\frac{3^6\times 5^4\times 10^{-30}\times 10^{-20}}{9^3\times5^2\times 10^{-9}\times10^{-4}}$

$=3^{6-6}\times 5^{4-2}\times 10^{-30-20+9+4}$

$=1\times 5^{2}\times 10^{-37}$

$=25\times 10^{-37}$

or The required scientific form is $=2.5\times 10^{-36}$