Question

I was wondering if you can help me on the math problemSolve:((3^2) * (7^4))^5=

Answer 1

The initial problem is:

`(3^2*7^4)^5`

We can use the following property:

`(X^a* Y^b)^c=X^(a\cdot c)* Y^(b\cdot c)`

So, the initial problem is equivalent to:

`\begin{gathered} (3^2*7^4)^5=3^(2\cdot5)*7^(4\cdot5) \\ (3^2*7^4)^5=3^(10)*7^(20) \end{gathered}`

Then, solving 3^10 and 7^20, we get:

`\begin{gathered} 3^(10)=59049 \\ 7^(20)=7.98*10^(16) \end{gathered}`

So, the answer is:

`(3^2*7^4)^5=59049*7.98*10^(16)=4.71*10^(21)`