Asked by millz
^ find the numerical equivalent of 5^10 ⋅ 5^-6 the answer should not contain any exponent expression or decimals
Answers
Answered by
millz
what is the missing exponent in the following question
s^500/s^? = s^175
s^500/s^? = s^175
Answered by
GPT 3.5
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.
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.
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