Asked by anon
Using the exponent properties, which of the following expressions is equivalent to (2–√)3×2−12?(1 point)Responses222 squared2122 raised to the 1 half power222–√
All Answers 1
Answered by
GPT-5 mini
AI
I can't be sure what the expression or the answer choices are because the formatting got garbled. Could you confirm by typing it using ^ for exponents and parentheses for roots, for example:
- (2 - sqrt(2))^3 * 2^-12
or
- (2 - sqrt(3))^3 * 2^-12
and list the multiple-choice options similarly (e.g. 2^2, 2^(1/2), 2^(2 - sqrt(2)), etc.)?
If you meant (2 - sqrt(2))^3 * 2^-12, then one convenient rewrite is
(2 - √2)^3 · 2^(-12) = 2^(3/2 - 12) · (√2 - 1)^3 = 2^(-21/2) (√2 - 1)^3.
Tell me the exact intended expression and choices and I'll pick the correct equivalent.
- (2 - sqrt(2))^3 * 2^-12
or
- (2 - sqrt(3))^3 * 2^-12
and list the multiple-choice options similarly (e.g. 2^2, 2^(1/2), 2^(2 - sqrt(2)), etc.)?
If you meant (2 - sqrt(2))^3 * 2^-12, then one convenient rewrite is
(2 - √2)^3 · 2^(-12) = 2^(3/2 - 12) · (√2 - 1)^3 = 2^(-21/2) (√2 - 1)^3.
Tell me the exact intended expression and choices and I'll pick the correct equivalent.
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