Question

(8a^3)^-4/3 in simplest form

Answer 1

(a/2) ^4 or a^4/16

Explanation:

(8a^-3)^-4/3

split into two parts

8^ -4/3 * (a^-3)^-4/3

using the power to the power rule we can multiply the exponents

8^(-4/3) *a^(-3*-4/3)

8^ (-4/3) * a^(4)

replace 8 with 2^3

(2^3)^(-4/3) * a^(4)

using the power to the power rule we can multiply the exponents

2^(3*-4/3) * a^(4)

2 ^ (-4) * a^4

the negative exponent means it goes in the denominator if it is in the numerator

a^4/2^4

make a fraction

(a/2) ^4

or a^2/16