Mr Daniels Maths
Index Practise

Set 1

Set 2

Set 3

Q1) \( 5 ^ {6}\) x \( 5 ^{9} = \) [ \( 5 ^{15}\)]

Q1) \( w ^ {2}\) \(\div\) \( w ^{8} = \) [ \( w ^{-6}\)]

Q1) \( { 17 ^ {9} \times 17 ^ {4}} \over 17 ^{4} \) = [ \( 17 ^{9}\)]

Q2) \( 9 ^ {9}\) x \( 9 ^{4} = \) [ \( 9 ^{13}\)]

Q2) \( z ^ {10}\) x \(z ^{3} = \) [ \( z ^{13}\)]

Q2) \( { w ^ {3} \times w ^ {6}} \over w ^{4} \) = [ \( w ^{5}\)]

Q3) \( 9 ^ {8}\) \(\div\) \( 9 ^{7} = \) [ \( 9 \)]

Q3) \( y ^ {5}\) x \(y ^{8} = \) [ \( y ^{13}\)]

Q3) \( { 20 ^ {6} \times 20 ^ {8}} \over 20 ^{9} \) = [ \( 20 ^{5}\)]

Q4) \( 1 ^ {5}\) \(\div\) \( 1 ^{10} = \) [ \( 1 ^{-5}\)]

Q4) \( x ^ {2}\) \(\div\) \( x ^{8} = \) [ \( x ^{-6}\)]

Q4) \( { 13 ^ {9} \times 13 ^ {8}} \over 13 ^{10} \) = [ \( 13 ^{7}\)]

Q5) \( 4 ^ {5}\) \(\div\) \( 4 ^{2} = \) [ \( 4 ^{3}\)]

Q5) \( y ^ {10}\) x \(y ^{6} = \) [ \( y ^{16}\)]

Q5) \( { 3 ^ {2} \times 3 ^ {4}} \over 3 ^{7} \) = [ \( 3 ^{-1}\)]

Q6) \( 3 ^ {9}\) x \( 3 ^{9} = \) [ \( 3 ^{18}\)]

Q6) \( y ^ {9}\) x \(y ^{10} = \) [ \( y ^{19}\)]

Q6) \( { 9 ^ {8} \times 9 ^ {10}} \over 9 ^{9} \) = [ \( 9 ^{9}\)]

Q7) \( 6 ^ {6}\) \(\div\) \( 6 ^{8} = \) [ \( 6 ^{-2}\)]

Q7) \( y ^ {6}\) x \(y ^{7} = \) [ \( y ^{13}\)]

Q7) \( { 20 ^ {7} \times 20 ^ {7}} \over 20 ^{8} \) = [ \( 20 ^{6}\)]

Q8) \( 3 ^ {3}\) \(\div\) \( 3 ^{10} = \) [ \( 3 ^{-7}\)]

Q8) \( w ^ {10}\) x \(w ^{4} = \) [ \( w ^{14}\)]

Q8) \( { y ^ {4} \times y ^ {9}} \over y ^{10} \) = [ \( y ^{3}\)]

Q9) \( 9 ^ {6}\) \(\div\) \( 9 ^{5} = \) [ \( 9 \)]

Q9) \( w ^ {7}\) \(\div\) \( w ^{3} = \) [ \( w ^{4}\)]

Q9) \( { z ^ {8} \times z ^ {2}} \over z ^{9} \) = [ \( z \)]

Q10) \( 2 ^ {4}\) \(\div\) \( 2 ^{9} = \) [ \( 2 ^{-5}\)]

Q10) \( z ^ {6}\) \(\div\) \( z ^{2} = \) [ \( z ^{4}\)]

Q10) \( { z ^ {7} \times z ^ {7}} \over z ^{5} \) = [ \( z ^{9}\)]