To simplify the expression $\frac{5b^{-2}}{b^{-3}}$, you need to use the rule of exponents that states: $a^{-n} = \frac{1}{a^n}$.

So, $b^{-2}$ becomes $\frac{1}{b^2}$ and $b^{-3}$ becomes $\frac{1}{b^3}$.

The expression then becomes $\frac{5}{b^2} * b^3$.

Next, use the rule of exponents that states: $a^m * a^n = a^{m+n}$.

So, $\frac{5}{b^2} * b^3$ becomes $5b^{3-2}$.

Finally, simplify $5b^{3-2}$ to get $5b^1$ or simply $5b$.

So, the simplified expression of $\frac{5b^{-2}}{b^{-3}}$ is $5b$.

Question

To simplify the expression $\frac{5b^{-2}}{b^{-3}}$, you need to use the rule of exponents that states: $a^{-n} = \frac{1}{a^n}$.

So, $b^{-2}$ becomes $\frac{1}{b^2}$ and $b^{-3}$ becomes $\frac{1}{b^3}$.

The expression then becomes $\frac{5}{b^2} * b^3$.

Next, use the rule of exponents that states: $a^m * a^n = a^{m+n}$.

So, $\frac{5}{b^2} * b^3$ becomes $5b^{3-2}$.

Finally, simplify $5b^{3-2}$ to get $5b^1$ or simply $5b$.

So, the simplified expression of $\frac{5b^{-2}}{b^{-3}}$ is $5b$.

Knowee AI · Accepted Answer

To simplify the expression $\frac{5b^{-2}}{b^{-3}}$, you need to use the rule of exponents that states: $a^{-n} = \frac{1}{a^n}$.

So, $b^{-2}$ becomes $\frac{1}{b^2}$ and $b^{-3}$ becomes $\frac{1}{b^3}$.

The expression then becomes $\frac{5}{b^2} * b^3$.

Next, use the rule of exponents that states: $a^m * a^n = a^{m+n}$.

So, $\frac{5}{b^2} * b^3$ becomes $5b^{3-2}$.

Finally, simplify $5b^{3-2}$ to get $5b^1$ or simply $5b$.

So, the simplified expression of $\frac{5b^{-2}}{b^{-3}}$ is $5b$.

Simplify. Write the expression using only positive exponents.$\frac{5b^{-2}}{b^{-3}}$5b−2b−3The simplified expression is