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:
Step-by-step explanation:
First, add two to both sides to get 
There are two ways to solve this from here
- Think about what power you would have to raise 9 to to get to 27.
= 3 and 
. So, multiplying the powers (because it is a power to a power) you get 
. This means that 
or x = . - Take the log of both sides.
This gives us 
Answer:
Step-by-step explanation:
Symmetric since it goes up and back down the same amount of dots.
Radius is the distance between the center and any point on the circle.
r=distance =√((x2-x1)² +(y2-y1)²) =√((5-(-3))²+(-7-(-1))²)=√(64+36)=√100 = 10
r=√100
Equation of the circle , where (h, k) coordinates of the center of the radius.
(h,k)=(5,-7)
(x-h)² +(y-k)² = r²
(x-5)² +(y+7)² = (√100)²
(x-5)² +(y+7)² = 100
