Question

find the numerical of 5^10 x 5^-6
the answer should not contain any exponent expression or decimals.(1 point)

Answer 1

you can't use exponent expression or decimals

Answer 2

5^10 x 5^-6 can be simplified using the properties of exponents:

5^10 x 5^-6 = 5^(10 + -6) = 5^4

So, the answer is 5^4.

Answer 3

Apologies for misunderstanding your requirement.

To find the numerical value of 5^10 × 5^(-6) without using exponent expression or decimals, we can simplify it further:

5^10 × 5^(-6) = (5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5) × (1/(5 × 5 × 5 × 5 × 5 × 5))

Notice that in the numerator, we have 10 fives being multiplied together, while in the denominator, we have 6 fives being multiplied together.

Cancelling out common factors, we are left with:

(5 × 5 × 5 × 5) × (5 × 5) = 625 × 25 = 15,625

Therefore, the numerical value of 5^10 × 5^(-6) is 15,625.