Answer:
5^98
Step-by-step explanation:
When we multiply the same number with different exponents we have to just add the exponents. For example:
a^3 * a^2 = a^5
Okay, now we got that straight, we can solve our problem.
5^2 * 5^9 = 5^(2+9) = 5^11
5^11 * 5^11 = 5^(11+11) = 5^22
5^22 * 5^18 = 5^40
Now we got 25^11, but we know that 25 = 5^2.
When you put exponents to an exponent you multiply them. I.e.:
a^2^3 = a^6
No we have 5^40 * 5^2^11 = 5^40 * 5^22 = 5^62
5^62 * 5^2^18 = 5^62 * 5^36 = 5^98
