Mr Daniels Maths
Index Practise

Set 1

Set 2

Set 3

Q1) \( 4 ^ {6}\) x \( 4 ^{5} = \) [ \( 4 ^{11}\)]

Q1) \( z ^ {5}\) x \(z ^{5} = \) [ \( z ^{10}\)]

Q1) \( { y ^ {6} \times y ^ {2}} \over y ^{9} \) = [ \( y ^{-1}\)]

Q2) \( 6 ^ {6}\) \(\div\) \( 6 ^{2} = \) [ \( 6 ^{4}\)]

Q2) \( y ^ {2}\) \(\div\) \( y ^{5} = \) [ \( y ^{-3}\)]

Q2) \( { z ^ {2} \times z ^ {2}} \over z ^{2} \) = [ \( z ^{2}\)]

Q3) \( 4 ^ {4}\) x \( 4 ^{7} = \) [ \( 4 ^{11}\)]

Q3) \( z ^ {7}\) x \(z ^{4} = \) [ \( z ^{11}\)]

Q3) \( { z ^ {4} \times z ^ {6}} \over z ^{2} \) = [ \( z ^{8}\)]

Q4) \( 4 ^ {7}\) \(\div\) \( 4 ^{9} = \) [ \( 4 ^{-2}\)]

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

Q4) \( { x ^ {6} \times x ^ {7}} \over x ^{10} \) = [ \( x ^{3}\)]

Q5) \( 9 ^ {10}\) x \( 9 ^{6} = \) [ \( 9 ^{16}\)]

Q5) \( y ^ {10}\) \(\div\) \( y ^{5} = \) [ \( y ^{5}\)]

Q5) \( { 18 ^ {5} \times 18 ^ {8}} \over 18 ^{3} \) = [ \( 18 ^{10}\)]

Q6) \( 6 ^ {10}\) x \( 6 ^{5} = \) [ \( 6 ^{15}\)]

Q6) \( x ^ {7}\) \(\div\) \( x ^{6} = \) [ \( x \)]

Q6) \( { z ^ {2} \times z ^ {8}} \over z ^{6} \) = [ \( z ^{4}\)]

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

Q7) \( x ^ {4}\) \(\div\) \( x ^{3} = \) [ \( x \)]

Q7) \( { w ^ {6} \times w ^ {5}} \over w ^{7} \) = [ \( w ^{4}\)]

Q8) \( 7 ^ {3}\) x \( 7 ^{9} = \) [ \( 7 ^{12}\)]

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

Q8) \( { 10 ^ {10} \times 10 ^ {6}} \over 10 ^{5} \) = [ \( 10 ^{11}\)]

Q9) \( 3 ^ {2}\) \(\div\) \( 3 ^{5} = \) [ \( 3 ^{-3}\)]

Q9) \( y ^ {6}\) x \(y ^{8} = \) [ \( y ^{14}\)]

Q9) \( { 14 ^ {4} \times 14 ^ {2}} \over 14 ^{8} \) = [ \( 14 ^{-2}\)]

Q10) \( 1 ^ {9}\) \(\div\) \( 1 ^{5} = \) [ \( 1 ^{4}\)]

Q10) \( z ^ {2}\) x \(z ^{9} = \) [ \( z ^{11}\)]

Q10) \( { w ^ {3} \times w ^ {7}} \over w ^{2} \) = [ \( w ^{8}\)]