Mathematics: Simplify [4a^(-6) b^2]^(-3) write your answer using only positive exponent

Simplify [4a^(-6) b^2]^(-3) write your answer using

Astudent333

14.03.2022

For this case we must simplify the following expression:

$(4a^{ - 6} * b ^ 2)^{ - 3}$

By definition of power properties we have: $a ^ {-1} = \frac {1} {a ^ 1} = \frac {1} {a}$

Then, rewriting the expression:

$(\frac {4} {a ^ 6} * b ^ 2) ^ {- 3} =\\\frac {1} {(\frac {4} {a ^ 6} * b ^ 2)^3} =\\\frac {1} {(\frac {4b ^ 2} {a ^ 6})^3} =$

By definition we have to:

$(a ^ n) ^ m = a ^ {n * m}$

$\frac {1} {\frac {64b ^ 6} {a^{18}}}\\\frac {a^{18}} {64b ^ 6}$

$\frac {a^{18}} {64b ^ 6}$

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leneenmarshall3125

03.03.2021

Step-by-step explanation:

90/8=11.25 (1 flapjack)

11.25x40=450

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