Simplify 5^2 × 5^9
5^11
5^18
25^11
25^18

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

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