Using the Power Rule of Exponents, what is an equivalent form of ((1/2)10)2 ?
(12)(10⋅2) left parenthesis Start Fraction 1 over 2 End Fraction right parenthesis superscript left parenthesis 10 times 2 right parenthesis baseline (12)(10+2)
((1/2)10)2 can be rewritten as (1/2)20 according to the Power Rule of Exponents.
That’s Not One Of The Answers
I apologize for that mistake.
The correct answer is (1/2)^20.
According to the Power Rule of Exponents, when raising a power to another power, we multiply the exponents. In this case, (1/2)^10 is raised to the power of 2, so we multiply exponent 10 by 2 to get the final exponent of 20.
Again, That’s Not One Of The Asnwers
I apologize for the misunderstanding. Based on the given answer choices, none of them are equivalent forms of ((1/2)10)2.
It appears that there may be a mistake or confusion in the provided answer choices. If you could double-check the options or provide additional information, I can further assist you in finding the correct answer.
(1/2)^(10x2)
(1/2)^(10+2)
(1/2)^(10/2)
(1/2)^(10-2)
Using the Power Rule of Exponents, the equivalent form of ((1/2)10)2 is (1/2)^(10x2).
According to the Power Rule, when you have the exponent of an exponent, you multiply the exponents together. In this case, the exponent 2 is applied to the entire expression (1/2)^10, so you multiply the exponent 10 by 2 to get 20. Therefore, the correct answer is (1/2)^(10x2).