Question

Simplify using the Laws of Exponents −4t5(6t5)

Answer 1

`\dashrightarrow \: { \tt{ - 4 {t}^(5)(6 {t}^(5)) }}`

• from law of indices:

`{ \rm{( {x}^(a))( {x}^(m)) = {x}^((a + m)) }}`

• therefore:

`\dashrightarrow \: { \tt{( - 4 * 6)( {t}^(5) * {t}^(5) ) }} \\ \\ \dashrightarrow \: { \tt{ - 24 {t}^((5 + 5)) }} \\ \\ \dashrightarrow \: { \boxed{ \tt{ - 24 {t}^(10) }}}`