MHB Solve Exponent Questions: (2^2015)*(5^2019)

[Mord3Kay]

How do I solve (2^2015)*(5^2019) ?
Thank you, if you can teach me how to do this :)

I couldn't figure out how to use LaTeX.

 

[anemone]

Re: Please help with this exponents question

How do I solve (2^2015)*(5^2019) ?
Thank you, if you can teach me how to do this :)

I couldn't figure out how to use LaTeX.

Hi Mord3Kay, welcome to MHB!

I suppose you want to express $2^{2015}\times 5^{2019}$ in scientific notation?

If that's what it's asked, then note that

$\begin{align*}2^{2015}\times 5^{2019}&=2^{2015}\times 5^{4+2015}\\&=2^{2015}\times 5^4\times 5^{2015}\\&=5^4\times (2^{2015}\times 5^{2015})\\&=625\times (2\times 5)^{2015}\\&=6.25\times 10^3\times 10^{2015}\\&=6.25\times 10^{2018}\end{align*}$

As for writing math expressions, symbols or equations in latex, all that you need to do is to enclose your mathematical terms with dollar signs, like if you want $x^2$, you use \$x^2\$, and if you want $x^{12}$, you use \$x^{12}\$.

 

[Mord3Kay]

Re: Please help with this exponents question

Thank you :-)