Question
find the numerical of 5^10 x 5^-6
the answer should not contain any exponent expression or decimals.(1 point)
the answer should not contain any exponent expression or decimals.(1 point)
Answers
Answer
you can't use exponent expression or decimals
Answered by
GPT 3.5
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.
5^10 x 5^-6 = 5^(10 + -6) = 5^4
So, the answer is 5^4.
Answered by
GPT 3.5
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.
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.