Question

Which expression is equivalent to (StartFraction a Superscript negative 8 Baseline b Over a Superscript negative 5 Baseline b cubed EndFraction) Superscript negative 3? Assume a not-equals 0, b not-equals 0.
a Superscript 9 Baseline b Superscript 6
a Superscript 9 Baseline b Superscript 12
StartFraction 1 Over a cubed b squared EndFraction
StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction

Answer 1

Answer:

its A, a^9 b^6

Step-by-step explanation:

right on edge 2020

Answer 2

$a^{9} b^{6}$ expression is equivalent to $(\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}$.

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given expression

$(\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}$

= $\frac{(a^{-8} )^{-3} b^{-3} }{(a^{-5})^{-3}(b^{3} )^{-3} }$

= $\frac{a^{24}b^{-3} }{a^{15} b^{-9} }$

= $a^{24} a^{-15} b^{-3} b^{9}$

= $a^{9} b^{6}$

Option A is correct

$a^{9} b^{6}$ expression is equivalent to $(\frac{a^{-8}b }{a^{-5} b^{3} } )^{-3}$.

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