Mr Daniels Maths
Index Practise

Set 1

Set 2

Set 3

Q1) \( 9 ^ {7}\) x \( 9 ^{8} = \) [ \( 9 ^{15}\)]

Q1) \( x ^ {8}\) x \(x ^{10} = \) [ \( x ^{18}\)]

Q1) \( { y ^ {2} \times y ^ {10}} \over y ^{6} \) = [ \( y ^{6}\)]

Q2) \( 9 ^ {10}\) x \( 9 ^{3} = \) [ \( 9 ^{13}\)]

Q2) \( z ^ {6}\) x \(z ^{10} = \) [ \( z ^{16}\)]

Q2) \( { 9 ^ {8} \times 9 ^ {5}} \over 9 ^{5} \) = [ \( 9 ^{8}\)]

Q3) \( 9 ^ {2}\) x \( 9 ^{10} = \) [ \( 9 ^{12}\)]

Q3) \( z ^ {2}\) \(\div\) \( z ^{4} = \) [ \( z ^{-2}\)]

Q3) \( { 7 ^ {4} \times 7 ^ {8}} \over 7 ^{4} \) = [ \( 7 ^{8}\)]

Q4) \( 4 ^ {5}\) x \( 4 ^{10} = \) [ \( 4 ^{15}\)]

Q4) \( z ^ {4}\) x \(z ^{5} = \) [ \( z ^{9}\)]

Q4) \( { 11 ^ {2} \times 11 ^ {8}} \over 11 ^{7} \) = [ \( 11 ^{3}\)]

Q5) \( 8 ^ {10}\) \(\div\) \( 8 ^{7} = \) [ \( 8 ^{3}\)]

Q5) \( y ^ {2}\) \(\div\) \( y ^{10} = \) [ \( y ^{-8}\)]

Q5) \( { x ^ {9} \times x ^ {8}} \over x ^{5} \) = [ \( x ^{12}\)]

Q6) \( 10 ^ {7}\) x \( 10 ^{4} = \) [ \( 10 ^{11}\)]

Q6) \( w ^ {9}\) \(\div\) \( w ^{8} = \) [ \( w \)]

Q6) \( { w ^ {4} \times w ^ {10}} \over w ^{2} \) = [ \( w ^{12}\)]

Q7) \( 8 ^ {5}\) x \( 8 ^{5} = \) [ \( 8 ^{10}\)]

Q7) \( z ^ {6}\) x \(z ^{2} = \) [ \( z ^{8}\)]

Q7) \( { z ^ {9} \times z ^ {4}} \over z ^{7} \) = [ \( z ^{6}\)]

Q8) \( 3 ^ {5}\) x \( 3 ^{6} = \) [ \( 3 ^{11}\)]

Q8) \( x ^ {6}\) x \(x ^{7} = \) [ \( x ^{13}\)]

Q8) \( { z ^ {7} \times z ^ {9}} \over z ^{7} \) = [ \( z ^{9}\)]

Q9) \( 4 ^ {8}\) \(\div\) \( 4 ^{6} = \) [ \( 4 ^{2}\)]

Q9) \( w ^ {10}\) \(\div\) \( w ^{2} = \) [ \( w ^{8}\)]

Q9) \( { x ^ {2} \times x ^ {7}} \over x ^{10} \) = [ \( x ^{-1}\)]

Q10) \( 8 ^ {7}\) x \( 8 ^{3} = \) [ \( 8 ^{10}\)]

Q10) \( x ^ {10}\) \(\div\) \( x ^{3} = \) [ \( x ^{7}\)]

Q10) \( { 9 ^ {3} \times 9 ^ {6}} \over 9 ^{4} \) = [ \( 9 ^{5}\)]