Mr Daniels Maths
Index Practise

Set 1

Set 2

Set 3

Q1) \( 5 ^ {3}\) \(\div\) \( 5 ^{10} = \) [ \( 5 ^{-7}\)]

Q1) \( z ^ {9}\) \(\div\) \( z ^{4} = \) [ \( z ^{5}\)]

Q1) \( { y ^ {5} \times y ^ {7}} \over y ^{6} \) = [ \( y ^{6}\)]

Q2) \( 8 ^ {8}\) x \( 8 ^{10} = \) [ \( 8 ^{18}\)]

Q2) \( z ^ {9}\) \(\div\) \( z ^{7} = \) [ \( z ^{2}\)]

Q2) \( { z ^ {3} \times z ^ {3}} \over z ^{7} \) = [ \( z ^{-1}\)]

Q3) \( 3 ^ {10}\) x \( 3 ^{9} = \) [ \( 3 ^{19}\)]

Q3) \( y ^ {9}\) x \(y ^{5} = \) [ \( y ^{14}\)]

Q3) \( { 13 ^ {9} \times 13 ^ {6}} \over 13 ^{9} \) = [ \( 13 ^{6}\)]

Q4) \( 4 ^ {8}\) x \( 4 ^{8} = \) [ \( 4 ^{16}\)]

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

Q4) \( { x ^ {2} \times x ^ {10}} \over x ^{8} \) = [ \( x ^{4}\)]

Q5) \( 5 ^ {3}\) \(\div\) \( 5 ^{6} = \) [ \( 5 ^{-3}\)]

Q5) \( x ^ {9}\) x \(x ^{2} = \) [ \( x ^{11}\)]

Q5) \( { 11 ^ {2} \times 11 ^ {7}} \over 11 ^{3} \) = [ \( 11 ^{6}\)]

Q6) \( 3 ^ {9}\) \(\div\) \( 3 ^{6} = \) [ \( 3 ^{3}\)]

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

Q6) \( { 5 ^ {8} \times 5 ^ {8}} \over 5 ^{5} \) = [ \( 5 ^{11}\)]

Q7) \( 10 ^ {4}\) x \( 10 ^{6} = \) [ \( 10 ^{10}\)]

Q7) \( x ^ {5}\) x \(x ^{9} = \) [ \( x ^{14}\)]

Q7) \( { x ^ {9} \times x ^ {2}} \over x ^{6} \) = [ \( x ^{5}\)]

Q8) \( 9 ^ {5}\) \(\div\) \( 9 ^{7} = \) [ \( 9 ^{-2}\)]

Q8) \( y ^ {8}\) \(\div\) \( y ^{3} = \) [ \( y ^{5}\)]

Q8) \( { w ^ {9} \times w ^ {9}} \over w ^{8} \) = [ \( w ^{10}\)]

Q9) \( 2 ^ {8}\) \(\div\) \( 2 ^{9} = \) [ \( 2 ^{-1}\)]

Q9) \( w ^ {7}\) \(\div\) \( w ^{6} = \) [ \( w \)]

Q9) \( { 13 ^ {7} \times 13 ^ {10}} \over 13 ^{3} \) = [ \( 13 ^{14}\)]

Q10) \( 3 ^ {6}\) x \( 3 ^{6} = \) [ \( 3 ^{12}\)]

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

Q10) \( { 3 ^ {4} \times 3 ^ {3}} \over 3 ^{2} \) = [ \( 3 ^{5}\)]