[tex]\begin{gathered} a)\frac{1}{S^{10}} \\ \\ b)\frac{1}{t^6} \\ \\ c)\frac{1}{P^3} \end{gathered}[/tex]
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)
[tex]\begin{gathered} S^3S^{-6}S^{-7}=S^{3-6-7}=S^{-10}=\frac{1}{S^{10}^{}} \\ \text{ } \end{gathered}[/tex]
b)Using the laws of indices;
[tex]t^{-9}t^3=t^{-9+3}=t^{-6}=\frac{1}{t^6}[/tex]
c) Using the law of indices;
[tex]P^5P^{-8}=P^{5-8}=P^{-3}=\frac{1}{P^3}[/tex]
