Law Of Indices - 10 Examples
To reinforce your understanding, this lesson on the Law of Indices will guide you through 10 examples showing how to apply the rules of indices in different situations.
Related Lessons:
Law Of Indices Example 1
Simplify, leaving your answer in positive index notation
- \(35x^2Γ·5x^{-4}\)
- \((4π₯^6 )^{\frac{1}{2}}\)
Law Of Indices Example 2
Simplify \(\frac{π¦^6Γβπ¦}{π¦^3}\) , giving your answer in the form \(π¦^π\) where n is a rational number.
Law Of Indices Example 3
Simplify \(\frac{2π^3Γ3π^{β2}}{βπ}\), leaving your answer in positive index notation.
Law Of Indices Example 4
Simplify \((π^{β\frac{ 3}{4}} π^{\frac{1}{3}} )^2ΓβπΓ·β(π^{β5} )\), leaving your answer in positive index notation.
Law Of Indices Example 5
- \(βπ§^{β6}\)
- \((pq^2)^{-5}Γ\frac{q^0}{p^3}Γ·(p^{-3}q)^3\)
Law Of Indices Example 6
Simplify, \(\frac{(3ππ^2 )^2}{β(8π^6 )}Γ·15π^2 π\) leaving your answer in positive index notation.
Law Of Indices Example 7
Given that \(\frac{π‘^6Γβπ‘^2}{π‘^{β1}} =π‘^π\), find the value of n.
Law Of Indices Example 8
Β Given that \(\frac{π₯^{\frac{3}{2}}Γπ₯^{β3}}{βπ₯}=π₯^π\), find the value of n.
Law Of Indices Example 9
Solve the equation \(4^π₯=\frac{1}{32}\)
Law Of Indices Example 10
Solve the equation \(16=8^{\frac{1}{π₯}}\)