Find the numerical equivalent of 5^10 ⋅ 5^−6 The answer should not contain any exponent expression or decimals. Show your work.

1 answer

To simplify the expression 51056, we can apply the property of exponents that states:

aman=am+n

In this case, we have:

51056=510+(6)=5106=54

Now, we need to find the numerical value of 54.

Calculating 54:

54=5×5×5×5

Calculating step by step:

  1. 5×5=25
  2. 25×5=125
  3. 125×5=625

Thus, 54=625.

So, the numerical equivalent of 51056 is

625