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.

Answer 1

The simplified form of the expression is a^9^6

Given the indices expression

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

Using the laws of indices given as:

$a^m \times a^n = a^{m+n}\\\frac{a^m }{a^n} = a^{m-n}\\(a^m)^n = a^{mn$

Applying this law on the expression, we will have:

$=(a^{-8-(-5)}b^{1-3})^{-3}\\=(a^{-8+5}b^{-2})^{-3}\\=(a^{-3}b^{-2})^{-3}\\=a^9b^6$

Hence the simplified form of the expression is a^9^6

Learn more on indices here: https://brainly.com/question/8952483

Answer 2

Answer:

its a

Step-by-step explanation:

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