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Mathematics
Charity
2 February, 23:12
Write (8a^-6) ^-2/3 in simplest form
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Efrain Bolton
2 February, 23:57
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The answer is
(a^2) / 4:
(8a^-3) ^-2/3 = 8^-2/3 * a^ (-3*-2/3)
=a^2 / ((8^1/3) ^2) = (a^2) / 4
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Brendan Green
3 February, 00:34
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In teh given expression (8a^-6) ^-2/3, the power of each variable is multiplied to the power of the whole expression. In this case, - 6 multiplied to - 2/3 is equal to 4. The constant is raised to the given power. 8 ^ - 2/3 is equal to 1/4. hence the answer is 0.25 a^4
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