Question

Write 5^17 x 5^2 as a
as a single power of 5

Answer 1

To simplify 5^17 x 5^2 as a single power of 5, add the exponents: 17 + 2 = 19. Therefore, 5^17 x 5^2 can be written as 5^19.

Step-by-step explanation:

To simplify 5^17 x 5^2 as a single power of 5, we can use the property of exponents that states when you multiply two numbers with the same base, you add their exponents.

In this case, we have 5 raised to the power of 17 multiplied by 5 raised to the power of 2.

So, we add the exponents: 17 + 2 = 19.

Therefore, 5^17 x 5^2 can be written as 5^19.