Answer A (5/4)^3/2
First square root = exponent (1/2)
Therefore = ((4/5)^-3)^1/2
Multiply together the two exponents
=(4/5)^(-3/2)
A negative exponent is the same as the reciprocal but with a positive exponent. eg a^-3 = 1/a^3
Therefore (4/5)^(-3/2)
= 1/(4/5)^3/2
As 1/ (4/5) = 5/4
This equates to
=(5/4)^3/2
= Answer A
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Answer A (5/4)^3/2
First square root = exponent (1/2)
Therefore = ((4/5)^-3)^1/2
Multiply together the two exponents
=(4/5)^(-3/2)
A negative exponent is the same as the reciprocal but with a positive exponent. eg a^-3 = 1/a^3
Therefore (4/5)^(-3/2)
= 1/(4/5)^3/2
As 1/ (4/5) = 5/4
This equates to
=(5/4)^3/2
= Answer A