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Mathematics
Kaleb Hampton
18 January, 09:14
Which value of a solves the equation
a^-2 = 1/100
+1
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)
Hannah Contreras
18 January, 11:47
0
a = 10 or a = - 10
Step-by-step explanation:
a^-2 = 1/100
We know 100 = 10^2
a^-2 = 1/10^2
We know 1/b^c = b^-c
1/a^2 = 1 / 10^2
Multiply by a^2 on each side
a^2 * 1/a^2 = 1 / 10^2 * a^2
1 = a^2/10^2
Multiply by 10^2 on each side
1 0^2 = a^2/10^2 * 10^2
10^2 = a^2
Take the square root of each side
sqrt (10^2) = sqrt (a^2)
±10 = a
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