Question

nstructions:Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match the expressions with their resultant terms in exponential form. Tiles 137 1319 131 13-22 13-14 1315 13-7 Pairs Resultant Terms in Exponential Form Expressions 13-11 × 1316 × 13-3 × 134 ×

Answer 1

the complete question in the attached figure

we know that
To multiply powers with the same base, keep the base and adds the exponent
so
Part 1)

`13 ^(-11) *13 ^(16)*13 ^(-3)*13 ^(4)*13 ^(-5) \\ =13 ^((-11+16-3+4-5)) \\= 13 ^(1)`

the answer part 1) is

`13 ^(1)`

Part 2)

`13 ^(-21) *13 ^(-4)*13 ^(-5)*13 ^(14)*13 ^(-6) \\ =13 ^((-21-4-5+14-6)) \\= 13 ^(-22)`

the answer part 2) is

`13 ^(-22)`

Part 3)

`13 ^(33) *13 ^(-2)*13 ^(5)*13 ^(-13)*13 ^(-8) \\ =13 ^((33-2+5-13-8)) \\= 13 ^(15)`

the answer Part 3) is

`13 ^(15)`

Part 4)

`13 ^(0) *13 ^(10)*13 ^(-12)*13 ^(5)*13 ^(4) \\ =13 ^((0+10-12+5+4)) \\= 13 ^(7)`

the answer part 4) is

`13 ^(7)`