Question

(2*5^2)^5/5^10*2^3=???
I don't get it.

Answer 1

\[\frac{(2\times 5^2)^5}{5^{10}\times 2^3}\]?

Answer 2

Yes I know I have to add the exponents, but I get different results from the ones in the options.

Answer 3

ok first we do it in our heads, and then we write the math
the numerator will bet 2 to the 5th times 5 to the 10th
the denominator is 2 to the 3rd times 5 to the 10th

the \(5^{10}\) cancel, leaving 1
2 to the 5th over 2 to the 3rd is 2 squared is 4
answer is 4
now we write the math

Answer 4

\[\frac{(2\times 5^2)^5}{5^{10}\times 2^3}\]
\[=\frac{2^5\times 5^{2\times 5}}{5^{10}\times 2^3}\]
\[=\frac{2^5\times 5^{10}}{5^{10}\times 2^3}\]
\[=\frac{2^5\times \cancel{5^{10}}}{2^3\times \cancel{5^{10}}}\]
\[=\frac{2^5}{2^3}=2^{5-3}=2^2=4\]

Answer 5

I see now. I missed the last step. Thank you @satellite73

Answer 6

yw