Mr Daniels Maths
Index Practise

Set 1

Set 2

Set 3

Q1) \( 4 ^ {5}\) \(\div\) \( 4 ^{7} = \) [ \( 4 ^{-2}\)]

Q1) \( z ^ {8}\) \(\div\) \( z ^{10} = \) [ \( z ^{-2}\)]

Q1) \( { 11 ^ {4} \times 11 ^ {4}} \over 11 ^{9} \) = [ \( 11 ^{-1}\)]

Q2) \( 9 ^ {7}\) x \( 9 ^{6} = \) [ \( 9 ^{13}\)]

Q2) \( z ^ {10}\) x \(z ^{7} = \) [ \( z ^{17}\)]

Q2) \( { 4 ^ {4} \times 4 ^ {9}} \over 4 ^{9} \) = [ \( 4 ^{4}\)]

Q3) \( 4 ^ {5}\) x \( 4 ^{7} = \) [ \( 4 ^{12}\)]

Q3) \( y ^ {5}\) \(\div\) \( y ^{4} = \) [ \( y \)]

Q3) \( { 16 ^ {8} \times 16 ^ {5}} \over 16 ^{3} \) = [ \( 16 ^{10}\)]

Q4) \( 4 ^ {10}\) \(\div\) \( 4 ^{5} = \) [ \( 4 ^{5}\)]

Q4) \( z ^ {2}\) \(\div\) \( z ^{6} = \) [ \( z ^{-4}\)]

Q4) \( { 4 ^ {3} \times 4 ^ {8}} \over 4 ^{4} \) = [ \( 4 ^{7}\)]

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

Q5) \( w ^ {6}\) x \(w ^{7} = \) [ \( w ^{13}\)]

Q5) \( { x ^ {4} \times x ^ {4}} \over x ^{9} \) = [ \( x ^{-1}\)]

Q6) \( 3 ^ {2}\) \(\div\) \( 3 ^{5} = \) [ \( 3 ^{-3}\)]

Q6) \( z ^ {7}\) x \(z ^{2} = \) [ \( z ^{9}\)]

Q6) \( { z ^ {8} \times z ^ {3}} \over z ^{6} \) = [ \( z ^{5}\)]

Q7) \( 7 ^ {9}\) \(\div\) \( 7 ^{5} = \) [ \( 7 ^{4}\)]

Q7) \( x ^ {8}\) x \(x ^{9} = \) [ \( x ^{17}\)]

Q7) \( { 19 ^ {5} \times 19 ^ {9}} \over 19 ^{5} \) = [ \( 19 ^{9}\)]

Q8) \( 9 ^ {4}\) \(\div\) \( 9 ^{9} = \) [ \( 9 ^{-5}\)]

Q8) \( y ^ {4}\) \(\div\) \( y ^{5} = \) [ \( y ^{-1}\)]

Q8) \( { x ^ {8} \times x ^ {10}} \over x ^{7} \) = [ \( x ^{11}\)]

Q9) \( 6 ^ {6}\) \(\div\) \( 6 ^{4} = \) [ \( 6 ^{2}\)]

Q9) \( x ^ {5}\) \(\div\) \( x ^{10} = \) [ \( x ^{-5}\)]

Q9) \( { x ^ {7} \times x ^ {3}} \over x ^{6} \) = [ \( x ^{4}\)]

Q10) \( 6 ^ {4}\) \(\div\) \( 6 ^{7} = \) [ \( 6 ^{-3}\)]

Q10) \( z ^ {6}\) x \(z ^{6} = \) [ \( z ^{12}\)]

Q10) \( { w ^ {6} \times w ^ {5}} \over w ^{10} \) = [ \( w \)]