Question

What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3

Answer 1

Given:

The expressions are

$-6a^2b^{-1}$

$\dfrac{5}{y^{-3}}$

To find:

The simplified form of each expression.

Solution:

We have,

$-6a^2b^{-1}$

$=-6a^2(\dfrac{1}{b})$      $[\because x^{-n}=\dfrac{1}{x^n}]$

$=-\dfrac{6a^2}{b}$

Therefore, the simplified form of $-6a^2b^{-1}$ is $-\dfrac{6a^2}{b}$.

We have,

$\dfrac{5}{y^{-3}}$

$=\dfrac{5}{\dfrac{1}{y^3}}$      $[\because x^{-n}=\dfrac{1}{x^n}]$

$=5\times \dfrac{y^3}{1}$

$=5y^3$

Therefore, the simplified form of $\dfrac{5}{y^{-3}}$ is $5y^3$.