^ find the numerical equivalent of 5^10 ⋅ 5^-6 the answer should not contain any exponent expression or decimals

Answer 1

To find the numerical equivalent of 5^10 ⋅ 5^-6 without any exponents or decimals, we can use the properties of exponents.

First, recall that when raising a number to a negative exponent, it is equivalent to dividing 1 by that number raised to the positive exponent. In this case, 5^-6 is equivalent to 1 / 5^6.

Now, let's simplify the expression:

5^10 ⋅ 5^-6
= 5^(10 - 6) [Using the properties of exponents, add the exponents of the same base]
= 5^4 [10 - 6 = 4]

Since the answer cannot contain any exponents, we need to further simplify it:

5^4 = 5 × 5 × 5 × 5
= 625

Therefore, the numerical equivalent of 5^10 ⋅ 5^-6 without any exponent expression or decimals is 625.

Answer 2

what is the missing exponent in the following question
s^500/s^? = s^175