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Google Classroom
Simplify.
Rewrite the expression in the form
b^(n).

(b^(-2))/(b^(4))=◻
Stuck? Review related articles/videos or use a hint.
Start over 4 of 7

Google Classroom $\newline$ Simplify. $\newline$ Rewrite the expression in the form $b^{n}$ . $\newline$ $\frac{b^{-2}}{b^{4}}=\square$ $\newline$ Stuck? Review related articles/videos or use a hint. $\newline$ Start over $4$ of $7$

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Conjugate root theorems

Full solution

Q. Google Classroom

\newline

Simplify.

\newline

Rewrite the expression in the form

b^{n}

.

\newline

\frac{b^{-2}}{b^{4}}=\square

\newline

Stuck? Review related articles/videos or use a hint.

\newline

Start over

4

of

7

Apply Quotient Rule: To simplify the expression $(b^{-2})/(b^{4})$ , we use the quotient rule for exponents which states that when dividing like bases, we subtract the exponents. The formula is $b^{m}/b^{n} = b^{m-n}$ .
Subtract Exponents: Applying the quotient rule to our expression, we get $b^{(-2 - 4)} = b^{-6}$ .
Final Simplification: The expression is now simplified to $b^{-6}$ , which is in the form $b^{n}$ as required.

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