The correct answer is: [B]: " 3 " .
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Note:
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The question asks:
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If (5⁴)ᵐ = 5¹² ; then what is "m" ?
Note the following property of exponents:
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(xᵃ)ᵇ = x⁽ᵃ*ᵇ⁾ ; a≠0 ; b ≠ 0 ;
Then, (5⁴)³ = 5⁽⁴ * ³⁾ = 5¹² .
So, "12 ÷ 4 = 3" .
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The answer is: "m = 3" ; which is: Answer choice: [B] .
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Answer:
e(-6) = -21
Step-by-step explanation:
Plug -6 into the equation and simplify.
3(-6) - 3
-18 - 3
-21
Answer:
A = 22.5 m²
Step-by-step explanation:
longest side length
b = √((-7 + 4)² + (-1 - 8)²) = √90
other sides
a = √((-1 + 7)² + (2 + 1)²) = √45
height
h = √((√45)² - (½√90)²) = √22.5
Area of triangle
A = ½bh = ½√90√22.5 = 22.5 m²
a little math shows that this triangle is a tilted half of a square with sides √45
