Question

Apply all relevant properties of exponents to simplify the following expression. Enter your answer as an integer or completely simplified fraction without negative exponents

Answer 1

`\begin{gathered} a)(1)/(S^(10)) \\ \\ b)(1)/(t^6) \\ \\ c)(1)/(P^3) \end{gathered}`

STEP - BY - STEP EXPLANATION

What to find?

The simplification of the following:

• S³ S⁻⁶ S⁻⁷

,

• t⁻⁹ t³

,

• P⁵ P⁻⁸

Applying the law of indices in the above, you will simply add the powers (exponents) together.

Using the laws of exponents (indices).

a)

`\begin{gathered} S^3S^(-6)S^(-7)=S^(3-6-7)=S^(-10)=\frac{1}{S^(10)^{}} \\ \text{ } \end{gathered}`

b)Using the laws of indices;

`t^(-9)t^3=t^(-9+3)=t^(-6)=(1)/(t^6)`

c) Using the law of indices;

`P^5P^(-8)=P^(5-8)=P^(-3)=(1)/(P^3)`