Question

Simplify and write in exponential form (–4)100 × (–4)20 ÷ (–4)50

Answer 1

☑ Question :

$\\ \\ {( - 4)}^{100} \times {( - 4)}^{20} \div {( - 4)}^{50}$

•When the base is negative but its power is positive then the resultant will be positive.

•When bases are same and they are in multiplication then powers Add.

•When bases are same and they divide then powers Subtract.

☑ Answer :

$\sf \frac{ {4}^{100} \times {4}^{20} }{ {4}^{50}} \\ \\ ↬\sf \frac{ {4}^{120} }{ {4}^{50} } \\ \\ ↬\sf{(4)}^{(120 - 50)} \\ \\ \sf \: \: \green{\boxed{\pink{{{4}^{70}}}}}$

Thus the exponential form of (-4)^100 × (-4)^20 ÷ (-4)^50 is 4^70

I hope it helps ✌

Answer 2

$\huge \red{ \mathtt{⛄Answer⛄}}$

$\red{ \mathtt{ {( -4)}^{100} \times {( -4)}^{20} }}$

$\red{ \mathtt{Can \: be \: simplified \: as}}$

$\red{ \mathtt {( - 4}^{100 + 20} = {( - 4)}^{120} }$