Brain is hurting - help please!

[emilymcm]

Daughter’s maths question has stumped us all for nearly an hour....any help gratefully received

 

[Dr.Peterson]

Daughter’s maths question has stumped us all for nearly an hour....any help gratefully received

I'd like to see what you tried during that hour, because you may be a lot closer than you realize.

Can you rewrite [MATH]5^\frac{m+n}{2}[/MATH] using the rules of exponents? Break it down as much as you can.

 

[HallsofIvy]

Do you or your daughter know any of the "rules of exponents"? Whoever gave your daughter this problem clearly expects your daughter to know them!

They are
\(\displaystyle (a^x)(a^y)= a^{x+ y}\)

\(\displaystyle (a^x)^y= a^{xy}\).

 

[Deleted member 4993]

Daughter’s maths question has stumped us all for nearly an hour....any help gratefully received

Using the information provided in the assignment-sheet and laws of exponent, can you complete the following:

x * y = 5^m * 5ⁿ = 5^[?]